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A characterization of Koiso's typed solitonsFeb 04 2008By extending Koiso's examples to the non-compact case, we construct complete gradient Kahler-Ricci solitons of various types on certain holomorphic line bundles over compact Kahler-Einstein manifolds. Moreover, a uniformization result on steady gradient ... More

Dirac Cone Metric and the Origin of the Spin Connections in Monolayer GrapheneFeb 05 2014Jun 11 2015We show that the modulation of the hopping amplitudes in the honeycomb lattice of the monolayer graphene uniquely defines a metric which corresponds to the shape of the Dirac cone. The spin connection of this effective metric field can be obtained from ... More

Geometric Aspects and Neutral Excitations in the Fractional Quantum Hall EffectDec 10 2013In this thesis, I will present studies on the collective modes of the fractional quantum Hall states, which are bulk neutral excitations reflecting the incompressibility that defines the topological nature of these states. It was first pointed out by ... More

Inverse electromagnetic scattering problems by a doubly periodic structureMay 04 2013Consider the problem of scattering of electromagnetic waves by a doubly periodic structure. The medium above the structure is assumed to be inhomogeneous characterized completely by an index of refraction. Below the structure is a perfect conductor or ... More

Hirzebruch manifolds and positive holomorphic sectional curvatureNov 20 2016This paper is the first step in a systematic project to study examples of K\"ahler manifolds with positive holomorphic sectional curvature ($H > 0$). Previously Hitchin proved that any compact K\"ahler surface with $H>0$ must be rational and he constructed ... More

Unitarity Method with Spurious PoleJun 25 2008Dec 13 2008In unitarity cut method, compact input of on-shell tree level amplitudes is crucial to simplify calculations. Although BCFW on-shell recursion relation gives very compact tree level amplitudes, they usually contain spurious poles. In this paper, we present ... More

Skew group algebras of deformed preprojective algebrasMar 09 2010Mar 21 2010Suppose that $Q$ is a finite quiver and $G\subseteq \Aut(Q)$ is a finite group, $k$ is an algebraic closed field whose characteristic does not divide the order of $G$. For any algebra $\Lambda=kQ/{\mathcal {I}}$, $\mathcal {I}$ is an arbitrary ideal of ... More

On Curvature Tensors of Hermitian ManifoldsFeb 03 2016In this article, we examine the behavior of the Riemannian and Hermitian curvature tensors of a Hermitian metric, when one of the curvature tensors obeys all the symmetry conditions of the curvature tensor of a K\"ahler metric. We will call such metrics ... More

Seiberg Duality in Matrix Models IINov 24 2002Apr 16 2003In this paper we continue the investigation, within the context of the Dijkgraaf-Vafa Programme, of Seiberg duality in matrix models as initiated in hep-th/0211202, by allowing degenerate mass deformations. In this case, there are some massless fields ... More

An Observation on Finite Groups and WZW Modular InvariantsSep 11 2000In this short note, inspired by much recent activity centered around attempts to formulate various correspondences between the classification of affine SU(k) WZW modular-invariant partition functions and that of discrete finite subgroups of SU(k), we ... More

All-optical controlled phase gate in quantum dot moleculesFeb 26 2014May 19 2015We propose a two-qubit optically controlled phase gate in quantum dot molecules via adiabatic passage and hole tunneling. Our proposal combines the merits of the current generation of vertically stacked self-assembled InAs quantum dots and adiabatic passage. ... More

D-Brane Gauge Theories from Toric Singularities and Toric DualityMar 13 2000May 13 2000Via partial resolution of Abelian orbifolds we present an algorithm for extracting a consistent set of gauge theory data for an arbitrary toric variety whose singularity a D-brane probes. As illustrative examples, we tabulate the matter content and superpotential ... More

Z-D Brane Box Models and Non-Chiral Dihedral QuiversSep 17 1999Generalising ideas of an earlier work \cite{Bo-Han}, we address the problem of constructing Brane Box Models of what we call the Z-D Type from a new point of view, so as to establish the complete correspondence between these brane setups and orbifold ... More

Microscopic Statistical Characterisation of the Congested Traffic Flow and Some Salient Empirical FeaturesMar 14 2016We present large scale and detailed analysis of the microscopic empirical data of the traffic flow, focusing on the non-linear interactions between the vehicles when the traffic is congested. By implementing a "renormalisation" procedure that averages ... More

About Detecting CP-Violating Processes in $J/ψ\to \KzKzb $ DecayJul 25 2006Questions about detecting CP-violating decay process of $J/\psi\to K^0\bar{K}^0\to K_SK_S$ are discussed. Possible background and material regeneration effect are analyzed. The discussion can be directly extended to other vector quarkonium decays, like ... More

Single Target-Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering on Transversely Polarized Nucleon TargetJun 19 2007We use a new set of Collins functions to update a previous prediction on the azimuthal asymmetries of pion productions in semi-inclusive deep inelastic scattering (SIDIS) process on a transversely polarized nucleon target. We find that the calculated ... More

The set of all orthogonal complex structures on the flat $6$-toriApr 19 2016In \cite{BSV}, Borisov, Salamon and Viaclovsky constructed non-standard orthogonal complex structures on flat tori $T^{2n}_{\mathbb R}$ for any $n\geq 3$. We will call these examples BSV-tori. In this note, we show that on a flat $6$-torus, all the orthogonal ... More

Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstaclesMay 04 2013May 16 2013This paper considers the inverse problem of scattering of time-harmonic acoustic and electromagnetic plane waves by bounded, inhomogeneous, penetrable obstacles in a homogeneous background medium. A new method is proposed to prove the unique determination ... More

D^0-D^0bar mixing in Υ(1S) \to D^0 D^0bar decay at Super-BOct 06 2006Nov 13 2006$\Dz-\Dzb$ mixing and significant CP violation in the charm system may indicate the signature of new physics. In this study, we suggest that the coherent $\DzDzb$ events from the decay of $\Upsilon(1S) \to \Dz \Dzb$ can be used to measure both mixing ... More

Standardization, Distance, Host Galaxy Extinction of Type Ia Supernova and Hubble Diagram from the Flux Ratio MethodOct 29 2009Jun 30 2010In this paper we generalize the flux ratio method Bailey et al. (2009) to the case of two luminosity indicators and search the optimal luminosity-flux ratio relations on a set of spectra whose phases are around not only the date of bright light but also ... More

A lower bound for the scalar curvature of certain steady gradient Ricci solitonsFeb 22 2011In this very short note we prove a lower bound for the scalar curvature of certain steady gradient Ricci solitons.

A necessary and sufficient condition for Ricci shrinkers to have positive AVRJan 18 2011In this short note we observe that a recent result of C.-W. Chen meshes well with earlier work of H.-D. Cao and D.-T. Zhou, O. Munteanu, J. Carrillo and L. Ni, and S.-J. Zhang to give a necessary and sufficient condition for complete noncompact shrinking ... More

Nature of Quasielectrons and the Continuum of Neutral Bulk Excitations in the Laughlin Quantum Hall FluidsAug 22 2013Jan 17 2014We construct model wavefunctions for a family of single-quasielectron states supported by the $\nu=1/3$ fractional quantum Hall (FQH) fluid. The charge $e^*$ = $e/3$ quasielectron state is identified as a composite of a charge-$2e^*$ quasiparticle and ... More

Distortion of Interference Fringes and the Resulting Vortex Production of Merging Bose-Einstein CondensatesDec 30 2009Aug 01 2013We investigate the effects of interatomic interactions and expansion on the distortion of interference fringes of a pair of initially well-separated, but coherent, condensate clouds trapped in a harmonic trap. The distortion of interference fringes, which ... More

Testing the Uniqueness of the Open Bosonic String Field Theory VacuumMar 14 2001Apr 19 2001The operators K_n are generators of reparameterization symmetries of Witten's cubic open string field theory. One pertinent question is whether they can be utilised to generate deformations of the tachyon vacuum and thereby violate its uniqueness. We ... More

The dynamical twisting and nondynamical r-matrix structure of elliptic Ruijsenaars-Schneider modelFeb 22 1998Sep 15 1999From the dynamical twisting of the classical r-matrix, we obtain a new Lax operator for the elliptic Ruijsenaars-Schneider model (cf. Ruijsenaars'). The corresponding r-matrix is shown to be the classical $Z_n$-symmetric elliptic r-matrix, which is the ... More

The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2Feb 22 1998We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider model with N=2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its non-relativistic counterpart (Calogero-Moser model) in ... More

The nondynamical r-matrix structure of the elliptic Calogero-Moser modelNov 12 1997In this paper, we construct a new Lax operator for the elliptic Calogero-Moser model with N=2. The nondynamical r-matrix structure of this Lax operator is also studied . The relation between our Lax operator and the Lax operator given by Krichever is ... More

A $\hbar$-deformed Virasoro Algebra as Hidden Symmetry of the Restricted sine-Gordon ModelDec 26 1996Jan 21 1997As the Yangian double with center,which is deformed from affine algebra by the additive loop parameter $\hbar$ ,we get the commuting relation and the bosonization of quantum $\hbar$-deformed Virasoro algebra. The corresponding Miura transformation, associated ... More

How Much Frequency Can Be Reused in 5G Cellular Networks---A Matrix Graph ModelJan 19 2014Apr 11 2014The 5th Generation cellular network may have the key feature of smaller cell size and denser resource employment, resulted from diminishing resource and increasing communication demands. However, small cell may result in high interference between cells. ... More

Parallel Triangular Solvers on GPUJun 02 2016In this paper, we investigate GPU based parallel triangular solvers systematically. The parallel triangular solvers are fundamental to incomplete LU factorization family preconditioners and algebraic multigrid solvers. We develop a new matrix format suitable ... More

Hierarchical Maximum Margin Learning for Multi-Class ClassificationFeb 14 2012Due to myriads of classes, designing accurate and efficient classifiers becomes very challenging for multi-class classification. Recent research has shown that class structure learning can greatly facilitate multi-class learning. In this paper, we propose ... More

Phase Structure of D-brane Gauge Theories and Toric DualityApr 30 2001Jun 11 2001Harnessing the unimodular degree of freedom in the definition of any toric diagram, we present a method of constructing inequivalent gauge theories which are world-volume theories of D-branes probing the same toric singularity. These theories are various ... More

The $Z_k \times D_{k'}$ Brane Box ModelJun 04 1999An example of a non-Abelian Brane Box Model, namely one corresponding to a $Z_k \times D_{k'}$ orbifold singularity of $\C^3$, is constructed. Its self-consistency and hence equivalence to geometrical methods are subsequently shown. It is demonstrated ... More

Counting Gauge Invariants: the Plethystic ProgramJan 08 2007Mar 04 2007We propose a programme for systematically counting the single and multi-trace gauge invariant operators of a gauge theory. Key to this is the plethystic function. We expound in detail the power of this plethystic programme for world-volume quiver gauge ... More

On Correspondences Between Toric Singularities and (p,q)-websMar 12 2004We study four-dimensional N=1 gauge theories which arise from D3-brane probes of toric Calabi-Yau threefolds. There are some standing paradoxes in the literature regarding relations among (p,q)-webs, toric diagrams and various phases of the gauge theories, ... More

Polynomial Structures in One-Loop AmplitudesMar 21 2008Sep 17 2008A general one-loop scattering amplitude may be expanded in terms of master integrals. The coefficients of the master integrals can be obtained from tree-level input in a two-step process. First, use known formulas to write the coefficients of (4-2epsilon)-dimensional ... More

On Bismut Flat ManifoldsMar 23 2016Jul 09 2016In this paper, we give a classification of all compact Hermitian manifolds with flat Bismut connection. We show that the torsion tensor of such a manifold must be parallel, thus the universal cover of such a manifold is a Lie group equipped with a bi-invariant ... More

A $\hbar$-deformation of the $W_{N}$ algebra and its vertex operatorsJan 21 1997In this paper,we derive a $\hbar$-deformation of the $W_{N}$ algebra and its quantum Miura tranformation. The vertex operators for this $\hbar$-deformed $W_{N}$ algebra and its commutation relations are also obtained.

An inverse electromagnetic scattering problem for a bi-periodic inhomogeneous layer on a perfectly conducting plateMar 16 2010This paper is concerned with uniqueness for reconstructing a periodic inhomogeneous medium covered on a perfectly conducting plate. We deal with the problem in the frame of time-harmonic Maxwell systems without TE or TM polarization. An orthogonal relation ... More

Modelling the level of adoption of analytical tools; An implementation of multi-criteria evidential reasoningFeb 11 2016In the future, competitive advantages will be given to organisations that can extract valuable information from massive data and make better decisions. In most cases, this data comes from multiple sources. Therefore, the challenge is to aggregate them ... More

Rare Semileptonic Decays of Heavy Mesons with Flavor SU(3) SymmetrySep 07 2007Dec 01 2008In this paper, we calculate the decay rates of $D^+ \to D^0 e^+ \nu$, $D^+_S \to D^0 e^+ \nu$, $B^0_S \to B^+ e^- \bar{\nu}$, $D^+_S \to D^+ e^- e^+$ and $B^0_S \to B^0 e^-e^+$ semileptonic decay processes, in which only the light quarks decay, while ... More

The Spectrum of the Neumann Matrix with Zero ModesFeb 26 2002Mar 20 2002We calculate the spectrum of the matrix M' of Neumann coefficients of the Witten vertex, expressed in the oscillator basis including the zero-mode a_0. We find that in addition to the known continuous spectrum inside [-1/3,0) of the matrix M without the ... More

Zeeman Spectroscopy of the Star AlgebraMar 20 2002We solve the problem of finding all eigenvalues and eigenvectors of the Neumann matrix of the matter sector of open bosonic string field theory, including the zero modes, and switching on a background B-field. We give the discrete eigenvalues as roots ... More

The inverse electromagnetic scattering problem in a piecewise homogeneous mediumJan 18 2010This paper is concerned with the problem of scattering of time-harmonic electromagnetic waves from an impenetrable obstacle in a piecewise homogeneous medium. The well-posedness of the direct problem is established, employing the integral equation method. ... More

Energy conditions and DK stability criterion in the non-local gravityNov 22 2016We study and derive the energy conditions and the Dolgov-Kawasaki (DK) stability criterion in non-local gravity, which is the modified theory of general relativity (GR) obtained by adding a term $m^2R\Box^{-2}R$ to the Einstein-Hilbert action. Moreover, ... More

Regression-based Hypergraph Learning for Image Clustering and ClassificationMar 14 2016Inspired by the recently remarkable successes of Sparse Representation (SR), Collaborative Representation (CR) and sparse graph, we present a novel hypergraph model named Regression-based Hypergraph (RH) which utilizes the regression models to construct ... More

Toric Duality as Seiberg Duality and Brane DiamondsSep 07 2001Jul 24 2002We use field theory and brane diamond techniques to demonstrate that Toric Duality is Seiberg duality for N=1 theories with toric moduli spaces. This resolves the puzzle concerning the physical meaning of Toric Duality as proposed in our earlier work. ... More

Quiver theories, soliton spectra and Picard-Lefschetz transformationsJun 17 2002Quiver theories arising on D3-branes at orbifold and del Pezzo singularities are studied using mirror symmetry. We show that the quivers for the orbifold theories are given by the soliton spectrum of massive 2d N=2 theory with weighted projective spaces ... More

Atomic hydrogen adsorption and incipient hydrogenation of the Mg(0001) surface: A density-functional theory studyApr 28 2009We investigate the atomic hydrogen adsorption on Mg(0001) by using density-functional theory within the generalized gradient approximation and a supercell approach. The coverage dependence of the adsorption structures and energetics is systematically ... More

Heralded entanglement of two distant quantum dot spins via optical interferenceMay 17 2015May 19 2015We present a proposal for heralded entanglement between two quantum dots via Hong--Ou--Mandel effect. Each of the quantum dots, drived off-resonance by two lasers, can be entangled with the coherent cavity mode. The output photons from the two coherent ... More

Quark Spin in Proton from Anomalous Ward IndentityApr 15 2015We report a quark spin calculation from the anomalous Ward identity with overlap fermions on 2+1 flavor dynamical fermion configurations with light sea quark masses. Such a formulation decomposes the divergence of the flavor-singlet axial-vector current ... More

Pricing Ad Slots with Consecutive Multi-unit DemandAug 06 2013We consider the optimal pricing problem for a model of the rich media advertisement market, as well as other related applications. In this market, there are multiple buyers (advertisers), and items (slots) that are arranged in a line such as a banner ... More

Analytic Wavefunctions for Neutral Bulk Excitations in Fractional Quantum Hall FluidsJun 27 2013We show the model wavefunctions for the neutral collective modes in fractional quantum Hall (FQH) states have simple analytic forms obtained from judicially reducing the powers of selected pairs in the ground state Jastrow factor. This scheme of "pair ... More

On a problem of Yau regarding a higher dimensional generalization of the Cohn-Vossen inequalityApr 03 2011We show that a problem by Yau can not be true in general. The counterexamples are constructed based on the recent work of Wu and Zheng.

Analytic Wavefunctions for Collective Modes in Fractional Quantum Hall FluidsMar 25 2013Apr 12 2013We show model wavefunctions for neutral collective modes in fractional quantum Hall (FQH) states have simple analytic forms obtained from judicially reducing the powers of selected pairs in the ground state Jastrow factor. This scheme of "pair excitations" ... More

Hierarchicality of Trade Flow Networks Reveals Complexity of ProductsJan 14 2014With globalization, countries are more connected than before by trading flows, which currently amount to at least 36 trillion dollars. Interestingly, approximately 30-60 percent of global exports consist of intermediate products. Therefore, the trade ... More

The Identity String Field and the Tachyon VacuumMay 02 2001Jun 14 2001We show that the triviality of the entire cohomology of the new BRST operator Q around the tachyon vacuum is equivalent to the Q-exactness of the identity I of the star-algebra. We use level truncation to show that as the level is increased, the identity ... More

An Algebraic Approach to the Scattering EquationsSep 15 2015We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations. The method renders the CHY-integrand of scattering amplitudes computable using simple linear ... More

Strange quark momentum fraction from overlap fermionFeb 19 2015Mar 10 2015We present a calculation of $< x >_s$ for the strange quark in the nucleon. We also report the ratio of the strange $< x >$ to that of $u/d$ in the disconnected insertion which will be useful in constraining the global fit of parton distribution functions ... More

The Lax pairs for elliptic C_n and BC_n Ruijsenaars-Schneider models and their spectral curvesNov 16 2000Jan 21 2001We study the elliptic C_n and BC_n Ruijsenaars-Schneider models which is elliptic generalization of system given in hep-th/0006004. The Lax pairs for these models are constructed by Hamiltonian reduction technology. We show that the spectral curves can ... More

Towards K-means-friendly Spaces: Simultaneous Deep Learning and ClusteringOct 15 2016Most learning approaches treat dimensionality reduction (DR) and clustering separately (i.e., sequentially), but recent research has shown that optimizing the two tasks jointly can substantially improve the performance of both. The premise behind the ... More

Most Complex Regular Ideal LanguagesOct 31 2015Oct 13 2016A right ideal (left ideal, two-sided ideal) is a non-empty language $L$ over an alphabet $\Sigma$ such that $L=L\Sigma^*$ ($L=\Sigma^*L$, $L=\Sigma^*L\Sigma^*$). Let $k=3$ for right ideals, 4 for left ideals and 5 for two-sided ideals. We show that there ... More

The crossing number of pancake graph $P_4$ is sixNov 20 2012The {\it crossing number} of a graph $G$ is the least number of pairwise crossings of edges among all the drawings of $G$ in the plane. The pancake graph is an important topology for interconnecting processors in parallel computers. In this paper, we ... More

Floquet Quantum Spin Hall Insulator in Cold Atomic SystemsJun 19 2014For cold atomic systems, varying the optical lattice potential periodically provides a general and simple way to drive the system into phases with nontrivial topology. Besides its simplicity, this driving approach, compared to the usual driving approach ... More

A non-boost-invariant solution of relativistic hydrodynamics in 1+3 dimensionsDec 14 2015We present a new solution of relativistic hydrodynamics in 1+3 dimensions which depends on both the transverse coordinate and rapidity. At early times the flow expands dominantly longitudinally in a non-boost-invariant manner, and at late times it expands ... More

Quark Structure of $Λ$ from $Λ$-Polarization in Z DecaysJul 05 1999Nov 26 1999The flavor and spin structure for the quark distributions of the $\Lambda$-baryon is studied in a perturbative QCD (pQCD) analysis and in the SU(6) quark-diquark model, and then applied to calculate the $\Lambda$-polarization of semi-inclusive $\Lambda$ ... More

Phenomenological Relation between Distribution and Fragmentation FunctionsAug 13 2002We study the relation between the quark distribution function q(x) and the fragmentation function D_q(z) based on a general form D_q(x) = C(z)z^{alpha}q(z) for valence and sea quarks. By adopting two known parametrizations of quark distributions for the ... More

Azimuthal Spin Asymmetries of Pion ElectroproductionOct 25 2001Azimuthal spin asymmetries, both for charged and neutral pion production in semi-inclusive deep inelastic scattering of unpolarized charged lepton beams on longitudinally and transversely polarized nucleon targets, are analyzed and calculated. Various ... More

The Flavor and Spin Structure of Hyperons from Quark FragmentationAug 29 2000Oct 10 2000We systematically study the hadron longitudinal polarizations of the octet baryons at large $z$ from quark fragmentations in $e^+e^-$-annihilation, polarized charged lepton deep inelastic scattering (DIS) process, and neutrino (antineutrino) DIS process, ... More

Non-perturbative effect in the nucleon structure function and the Gottfried sumJan 13 1996We investigate the non-perturbative effect in the nucleon structure function and the Gottfried sum by using a non-perturbative quark propagator with lowest dimensional condensate contributions from the QCD vacuum. It is shown that the non-perturbative ... More

The general crossing relation for boundary reflection matrixMay 27 1999In this paper, we give the general crossing relation for boundary reflection matrix $R(\beta)$, which is the extension of the work given by Ghoshal and Zamolodchikov .We also use the first non-trivial extended crossing relation to determine the scaler ... More

Numerical Simulation of Multi-phase Flow in Porous Media on Parallel ComputersJun 02 2016Oct 07 2016A parallel reservoir simulator has been developed, which is designed for large-scale black oil simulations. It handles three phases, including water, oil and gas, and three components, including water, oil and gas. This simulator can calculate traditional ... More

Predictive AdS/QCD Model for Mass Spectra of Mesons with Three FlavorsDec 16 2010Mar 09 2011The predictive soft-wall AdS/QCD model with a modified 5D metric at the infrared region is constructed to obtain a non-trivial dilaton solution for three flavor quarks $u$, $d$ and $s$. Such a model is shown to incorporate both the chiral symmetry breaking ... More

Discovering link communities in complex networks by exploiting link dynamicsMar 19 2013Discovery of communities in complex networks is a fundamental data analysis problem with applications in various domains. Most of the existing approaches have focused on discovering communities of nodes, while recent studies have shown great advantages ... More

Dimer Models from Mirror Symmetry and Quivering AmoebaeNov 29 2005Dimer models are 2-dimensional combinatorial systems that have been shown to encode the gauge groups, matter content and tree-level superpotential of the world-volume quiver gauge theories obtained by placing D3-branes at the tip of a singular toric Calabi-Yau ... More

LSBN: A Large-Scale Bayesian Structure Learning Framework for Model AveragingOct 18 2012The motivation for this paper is to apply Bayesian structure learning using Model Averaging in large-scale networks. Currently, Bayesian model averaging algorithm is applicable to networks with only tens of variables, restrained by its super-exponential ... More

Transversity from two pion interference fragmentationNov 06 2007Dec 12 2007We present calculation on the azimuthal spin asymmetries for pion pair production in semi-inclusive deep inelastic scattering (SIDIS) process at both HERMES and COMPASS kinematics, with transversely polarized proton, deuteron and neutron targets. We calculate ... More

Algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(sl_n)$ and its applicationsMar 10 2003Jul 06 2003We study the tensor product of the {\it higher spin representations} (see the definition in Sect. 2.2) of the elliptic quantum group $E_{\tau,\eta}(sl_n)$. The transfer matrices associated with the $E_{\tau,\eta}(sl_n)$-module are exactly diagonalized ... More

The twisted quantum affine algebra $U_q(A^{(2)_2)$ and correlation functions of the Izergin-Korepin modelApr 04 1999Apr 14 1999We derive the exchange relations of the vertex operators of $U_q(A_2^{(2)})$ and show that these vertex operators give the bosonization of the Izergin-Korepin model. We give an integral expression of the correlation functions of the Izergin-Korepin model ... More

Spin Transfers for Baryon Production in Polarized pp Collisions at RHIC-BNLJul 13 2001Sep 25 2001We consider the inclusive production of longitudinally polarized baryons in ${\vec p}p$ collisions at RHIC-BNL, with one longitudinally polarized proton. We study the spin transfer between the initial proton and the produced baryon as a function of its ... More

Collins Effect in Single Spin Asymmetries of the $p^{\uparrow}p \to π X$ ProcessSep 01 2004Apr 09 2005We investigate the Collins effect in single spin asymmetries (SSAs) of the $p^{\uparrow}p \to \pi X$ process, by taking into account the transverse momentum dependence of the microscopic sub-processes cross sections, with the transverse momentum in the ... More

Helicity and Transversity Distribution of Nucleon and $Λ$-Hyperon from $Λ$ FragmentationMar 13 2001Oct 03 2001It is shown that $\Lambda$-hyperon fragmentation in charged lepton deep inelastic scattering (DIS) on a polarized nucleon target can provide sensitive information concerning the quark helicity and transversity distributions for both nucleon and $\Lambda$-hyperon ... More

Nucleon Transversity Distribution from Azimuthal Spin Asymmetry in Pion ElectroproductionSep 26 2000Nov 21 2000The azimuthal asymmetry observed by the HERMES collaboration in semi-inclusive pion production in deep inelastic scattering of unpolarized positron on the longitudinally polarized proton target, can provide information of the quark transversity distributions ... More

Flavor and Spin Structure of $Λ$-Baryon at Large xJun 17 1999Feb 23 2000It is shown that a perturbative QCD (pQCD) based analysis and the SU(6) quark-diquark model give significant different predictions concerning the flavor and spin structure for the quark distributions of the $\Lambda$-baryon near $x=1$. Detailed predictions ... More

The Non-perturbative Effect on $R=σ_L /σ_T$ from QCD VacuumFeb 18 1998We investigate the non-perturbative effects on the ratio $R=\sigma_L /\sigma_T$ in lepton-nucleon deep inelastic scattering by taking into account the lowest dimensional condensate contributions from the QCD vacuum. By combining conventional perturbative ... More

Development of A Platform for Large-scale Reservoir Simulations on Parallel computersFeb 18 2016Oct 30 2016This paper presents our work on designing a platform for large-scale reservoir simulations. Detailed components, such as grid and linear solver, and data structures are introduced, which can serve as a guide to parallel reservoir simulations and other ... More

Study of the electromagnetic transitions $J/ψ\rightarrow P l^+l^-$ and probe dark photonNov 17 2011May 16 2012We study the electromagnetic Dalitz decay modes of $J/\psi \rightarrow P l^+l^-$ ($P= \pi^0$, $\eta$ or $\eta^\prime$). In these decays, the lepton pairs are formed by internal conversion of an intermediate virtual photon with invariant mass $m_{l^+l^-}$. ... More

The Lax pair for C_2-type Ruijsenaars-Schneider modelApr 03 2000Jun 21 2001We study the C_2 Ruijsenaars-Schneider(RS) model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral parameter are constructed. Also given are the involutive Hamiltonians for the system. Taking nonrelativistic ... More

Integrability of the $C_{n}$ and $BC_{n}$ Ruijsenaars-Schneider modelsJun 01 2000We study the $C_{n}$ and $BC_{n}$ Ruijsenaars-Schneider(RS) models with interaction potential of trigonometric and rational types. The Lax pairs for these models are constructed and the involutive Hamiltonians are also given. Taking nonrelativistic limit, ... More

Multipartite entanglement purification for three-level trapped atom systemsOct 26 2012We describe an entanglement purification protocol (EPP) for multipartite three-level atomic entangled pair using photonic Faraday rotation. In this EPP, the multipartite atomic entangled state can be purified with the help of some single photons. This ... More

Atomic entanglement purification using photonic Faraday rotationSep 28 2012We describe an entanglement purification protocol (EPP) for atomic entangled pair using photonic Faraday rotation. It is shown that after the two single photons input-output process in cavity QED, the high quality entangled atomic state can be obtained ... More

Discrete Torsion, Covering Groups and Quiver DiagramsNov 21 2000May 09 2001Without recourse to the sophisticated machinery of twisted group algebras, projective character tables and explicit values of 2-cocycles, we here present a simple algorithm to study the gauge theory data of D-brane probes on a generic orbifold G with ... More

Unhiggsing the del PezzoSep 26 2002We develop an unhiggsing procedure for finding the D-brane probe world volume gauge theory for blowups of geometries whose gauge theory data are known. As specific applications we unhiggs the well-studied theories for the cone over the third del Pezzo ... More

Discrete Torsion, Non-Abelian Orbifolds and the Schur MultiplierOct 04 2000Dec 08 2000Armed with the explicit computation of Schur Multipliers, we offer a classification of SU(n) orbifolds for n = 2,3,4 which permit the turning on of discrete torsion. This is in response to the host of activity lately in vogue on the application of discrete ... More

Dissociation of hydrogen molecules on the clean and hydrogen-preadsorbed Be(0001) surfaceJul 13 2009Oct 27 2011Using first-principles calculations, we systematically study the potential energy surfaces and dissociation processes for hydrogen molecules on the clean and hydrogen-preadsorbed Be(0001) surfaces. It is found that the most energetically favored dissociation ... More

Photonic molecules formed by coupled hybrid resonatorsMay 02 2013We describe a method that enables free-standing whispering-gallery-mode microresonators, and report spectral tuning of photonic molecules formed by coupled free and on-chip resonators with different geometries and materials. We study direct coupling via ... More

Development of A Platform for Large-scale Reservoir Simulations on Parallel computersFeb 18 2016Oct 07 2016This paper presents our work on designing a platform for large-scale reservoir simulations. Detailed components, such as grid and linear solver, and data structures are introduced, which can serve as a guide to parallel reservoir simulations and other ... More

Cluster Statistics and Quasisoliton Dynamics in Microscopic Car-following ModelsJul 02 2014May 10 2016Using the optimal velocity (OV) model as an example, we show that in the non-linear regime there is an emergent quantity that gives the extremum headways in the cluster formation, as well as the coexistence curve separating the absolute stable phase from ... More

Reanalysis of Azimuthal Spin Asymmetries of Meson ElectroproductionSep 11 2002Sep 17 2002The azimuthal spin asymmetries for pion production in semi-inclusive deep inelastic scattering of unpolarized charged lepton beams on longitudinally polarized nucleon targets, are reanalyzed by taking into account an important sign correction to previous ... More