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Nonlinear (Super)Symmetries and AmplitudesSep 28 2016There is an increasing interest in nonlinear supersymmetries in cosmological model building. Independently, elegant expressions for the all-tree amplitudes in models with nonlinear symmetries, like D3 brane Dirac-Born-Infeld-Volkov-Akulov theory, were ... More

B-mode TargetsJun 11 2019The CMB-S4 Science Book, Astro2020 Science White Paper on gravitational waves, and PICO report contain an extensive discussion of many ongoing and planned efforts in the search for gravitational waved produced by inflation. Here we give a short executive ... More

Obstruction to E_{7(7)} Deformation in N=8 SupergravityMar 14 2013Candidate counterterms break Noether-Gaillard-Zumino E_{7(7)} current conservation in N=8 supergravity in four dimensions. Bossard and Nicolai proposed a scheme for deforming the subsector involving vector fields in a Lorentz covariant manner, so as to ... More

On hilltop and brane inflation after PlanckJun 05 2019Hilltop inflation models are often described by potentials $V = V_{0}(1-{\phi^{n}\over m^{n}}+...)$. The omitted terms indicated by ellipsis do not affect inflation for $m \lesssim 1$, but the most popular models with $n =2$ and $4$ for $m \lesssim 1$ ... More

Seven-Disk Manifold, alpha-attractors and B-modesOct 13 2016Cosmological alpha-attractor models in \cN=1 supergravity are based on hyperbolic geometry of a Poincar\'e disk with the radius square {\cal R}^2=3\alpha. The predictions for the B-modes, r\approx 3\alpha {4\over N^2}, depend on moduli space geometry ... More

Origin of Soft Limits from Nonlinear Supersymmetry in Volkov--Akulov TheorySep 28 2016We apply the background field technique, recently developed for a general class of nonlinear symmetries, at tree level, to the Volkov--Akulov theory with spontaneously broken N=1 supersymmetry. We find that the background field expansion in terms of the ... More

Gaugino Condensation and Geometry of the Perfect SquareJan 07 2019Jan 20 2019Gaugino condensation plays a crucial role in the formation of dS vacua. However, the theory of this effect is still incomplete. In 4d the perfect square nature of gaugino couplings follows from the square of auxiliaries in the supergravity action. We ... More

Planck 2013 and Superconformal SymmetryFeb 03 2014We explain why the concept of a spontaneously broken superconformal symmetry is useful to describe inflationary models favored by the Planck. Non-minimal coupling of complex scalars to curvature, N(X, X*) R, is compulsory for superconformal symmetry. ... More

On UV Finiteness of the Four Loop N=8 SupergravityJun 18 2009Sep 11 2009The 4-loop 4-point amplitude in N=8 d=4 supergravity is UV finite due to supersymmetry. Even better UV behavior of the 4-loop 4-point amplitude, analogous to that of N=4 SYM theory, has been recently established by computation in [1]. All n-point 4-loop ... More

Flux vacua as supersymmetric attractorsSep 15 2005Nov 16 2005We derive algebraic attractor equations describing supersymmetric flux vacua of type IIB string theory in terms of the doublet of the 3-form fluxes, F and H. These equations are similar to the attractor equations for moduli fixed by the charges near the ... More

On Inflation in String TheoryFeb 08 2007Apr 05 2007In this talk we describe recent progress in construction of inflationary models in the context of string theory with flux compactification and moduli stabilization. We also discuss a possibility to test string theory by cosmological observations.

Covariant Quantization of D-branesMay 08 1997We have found that kappa-symmetry allows a covariant quantization provided the ground state of the theory is strictly massive. For D-p-branes a Hamiltonian analysis is performed to explain the existence of a manifestly supersymmetric and Lorentz covariant ... More

Dual WavesJun 14 1994We study the gravitational waves in the 10-dimensional target space of the superstring theory. Some of these waves have unbroken supersymmetries. They consist of Brinkmann metric and of a 2-form field. Sigma-model duality is applied to such waves. The ... More

The Action with Manifest E7 Type SymmetryDec 19 2018Apr 20 2019We generalize Cremmer-Julia 1st order action of $N=8$ supergravity with manifest $E_{7(7)}$ symmetry to cases of $N=6$ with manifest $SO^*(12)$ and $N=5$ with manifest $SU(1,5)$ duality symmetries. These U dualities belong to groups of type E7 which do ... More

Matter-coupled de Sitter SupergravitySep 07 2015De Sitter supergravity describes interaction of supergravity with general chiral and vector multiplets as well as one nilpotent chiral multiplet. The extra universal positive term in the potential due to the nilpotent multiplet, corresponding to the anti-D3 ... More

On Absence of 3-loop Divergence in N=4 SupergravityFeb 21 2012We argue that N=4 supergravity is 3-loop UV finite because the relevant supersymmetric candidate counterterm is known to be SL(2, R)x SO(6) invariant, which violates the Noether-Gaillard-Zumino current conservation. Analogous arguments, based on the universality ... More

N=8 Counterterms and E7(7) Current ConservationApr 28 2011We examine conservation of the E7(7) Noether-Gaillard-Zumino current in the presence of N=8 supergravity counterterms using the momentum space helicity formalism, which significantly simplifies the calculations. The main result is that the 4-point counterterms ... More

The Ultraviolet Finiteness of N=8 SupergravitySep 06 2010Nov 03 2010We study counterterms (CT's), candidates for UV divergences in the four-dimensional N=8 supergravity. They have been constructed long ago in a Lorentz covariant on shell superspace and recently in the chiral light-cone (LC) superspace. We prove that all ... More

On a possibility of a UV finite N=8 supergravityAug 18 2008Nov 15 2008The Lorentz covariant all-loop counterterms built in the 4+32 on shell superspace of N=8 supergravity imply that the theory is not UV finite. Meanwhile, the relevant counterterms depending on the light-cone superfields in 4+16 superspace have not been ... More

From BPS to Non-BPS Black Holes CanonicallyMar 01 2006We describe the ``action-angle'' integrable system underlying the structure of double-extremal black holes. This implies the existence of a canonical transformation from BPS to non-BPS black holes. We give examples of such canonical transformation for ... More

N=2 Supersymmetry and de Sitter spaceSep 21 2001Oct 31 2001We present a (unique?) possibility of de Sitter solution in the framework of N=2 supersymmetry (hypersymmetry). We show that a model with a vector and a charged hypermultiplet has a hybrid inflation type potential. It leads to a slow-roll regime in de ... More

Worldvolume SupersymmetrySep 09 1997A general set of rules is given how to convert a local kappa-symmetry of a brane action and space-time supersymmetry into the global supersymmetry of the worldvolume. A Killing spinor adapted gauge for quantization of kappa-symmetry is defined for this ... More

The Action with Manifest E7 Type SymmetryDec 19 2018We generalize Cremmer-Julia 1st order action of $N=8$ supergravity with manifest $E_{7(7)}$, symmetry to cases of $N=6$ with manifest $SO^*(12)$ and $N=5$ with manifest $SU(1,5)$ duality symmetries. These U dualities belong to groups of type E7 which ... More

The Action with Manifest E7 Type SymmetryDec 19 2018Mar 14 2019We generalize Cremmer-Julia 1st order action of $N=8$ supergravity with manifest $E_{7(7)}$, symmetry to cases of $N=6$ with manifest $SO^*(12)$ and $N=5$ with manifest $SU(1,5)$ duality symmetries. These U dualities belong to groups of type E7 which ... More

Cancellation of Conformal and Chiral Anomalies in $N \geq 5$ supergravitiesDec 28 2016A cancellation of conformal anomalies in d=4 for the $C^2+\bar C^2$ and of chiral anomalies for the $C^2-\bar C^2$ is known in N-extended supergravities with $N \geq 5$. We propose an explanation of these cancellations using supersymmetry and dimension ... More

N=8 Supergravity on the Light ConeMar 26 2009Dec 01 2009We construct the generating functional for the light-cone superfield amplitudes in a chiral momentum superspace. It generates the n-point particle amplitudes which on shell are equivalent to the covariant ones. Based on the action depending on unconstrained ... More

New AttractorsOct 04 2005Dec 11 2005We derive new algebraic attractor equations describing supersymmetric flux vacua of type IIB string theory. The first term in these equations, proportional to the gravitino mass (the central charge), is similar to the attractor equations for moduli fixed ... More

The Effective Action of N=8 SupergravityNov 14 2007We present a simple form of the on-shell gauge-invariant 1-loop effective action of N=8 supergravity which is manifestly N=8 supersymmetric at the linear level. By generalizing the dimensional arguments in superspace to non-local invariants, we show that ... More

Bound States of Branes with Minimal EnergyNov 21 1996Nov 24 1996It is pointed out that the energy of the bound states of D-branes and strings is determined by the central charge of the space-time supersymmetry. The universality which is seen at the black hole horizon appears also on the D-brane side: the total energy ... More

Superpotential from Black HolesJun 17 1996BPS monopoles in N=2 SUSY theories may lead to monopole condensation and confinement. We have found that supersymmetric black holes with non-vanishing area of the horizon may stabilize the moduli in theories where the potential is proportional to the ... More

Supersymmetry and Black HolesJun 20 1993Sep 27 1993We consider static black holes, which are bosonic solutions of supersymmetric theories. We will show that supersymmetry provides a natural framework for a discussion of various properties of such static black holes. The most fundamental property of simple ... More

Black Holes and Quantum MechanicsJan 31 1999The motion of a particle near the RN black hole horizon is described by conformal mechanics. Models of this type have no ground state with vanishing energy. This problem was resolved in past by a redefinition of the Hamiltonian which breaks translational ... More

Geometry of Scattering at Planckian EnergiesNov 05 1991We present an alternative derivation and geometrical formulation of Verlinde topological field theory, which may describe scattering at center of mass energies comparable or larger than the Planck energy. A consistent trunckation of 3+1 dimensional Einstein ... More

Nonlinear (Super)Symmetries and AmplitudesSep 28 2016Nov 29 2016There is an increasing interest in nonlinear supersymmetries in cosmological model building. Independently, elegant expressions for the all-tree amplitudes in models with nonlinear symmetries, like D3 brane Dirac-Born-Infeld-Volkov-Akulov theory, were ... More

E{7(7)} Symmetry and Finiteness of N=8 SupergravityMar 21 2011We study N=8 supergravity deformed by the presence of the candidate counterterms. We show that even though they are invariant under undeformed E{7(7)}, all of the candidate counterterms violate the deformed E{7(7)} current conservation. The same conclusion ... More

Deformation, non-commutativity and the cosmological constant problemMay 26 2004In this talk we provide arguments on possible relation between the cosmological constant in our space and the non-commutativity parameter of the internal space of compactified string theory. The arguments are valid in the context of D3/D7 brane cosmological ... More

Supergravity, M theory and CosmologyMay 30 2002We discuss some recent attempts to reconcile cosmology with supergravity and M/string theory. First of all, we point out that in extended supergravities the scalar masses are quantized in terms of the cosmological constant in de Sitter vacua: the eigenvalues ... More

Quantization of p-branes, D-p-branes and M-branesSep 29 1997Killing spinors of space-time BPS configurations play an important role in quantization of theories with the fermionic worldvolume local symmetry. We show here how it works for the GS superstring, BST supermembrane and M-5-brane. We show that the non-linear ... More

BLACK HOLE MULTIPLETS AND SPONTANEOUS BREAKING OF LOCAL SUPERSYMMETRYMar 06 1995We classify states saturating a double or a single supersymmetric positivity bound of a four-dimensional N=4 supersymmetry. The massive four-dimensional double-bound states (Bogomolny states) are shown to form a light-like representation of ten-dimensional ... More

Axion-Dilaton Black HolesMar 19 1993In this talk some essential features of stringy black holes are described. We consider charged four-dimensional axion-dilaton black holes. The Hawking temperature and the entropy of all solutions are shown to be simple functions of the squares of supercharges, ... More

Nonlinear (Super)Symmetries and AmplitudesSep 28 2016Oct 06 2016There is an increasing interest in nonlinear supersymmetries in cosmological model building. Independently, elegant expressions for the all-tree amplitudes in models with nonlinear symmetries, like D3 brane Dirac-Born-Infeld-Volkov-Akulov theory, were ... More

An Update on Perturbative N=8 SupergravityDec 22 2014According to the recent pure spinor analysis of the UV divergences by Karlsson, there are no divergent 1PI structures beyond 6 loops in D=4 N=8 supergravity. In combination with the common expectation that the UV divergences do not appear at less than ... More

More on Universal Superconformal AttractorsFeb 13 2014We define a general class of superconformal inflationary attractor models studied in our previous papers [1,2], which include, among others, inflationary models of 'induced gravity' which were argued to retain perturbative unitarity up to the Planck scale ... More

Multivalued Entropy of Supersymmetric Black HolesDec 07 1999The supersymmetric flow equations describing the flow of moduli from infinity to the black hole horizon, and vice versa, are derived in the five-dimensional theories where the moduli space of the very special geometry has disjoint branches. The multiple ... More

Superconformal Actions in Killing GaugeJul 28 1998The classical superconformal actions of branes in adS superspaces have a closed form depending on a matrix $M^2$ quadratic in fermions, as found in hep-th/9805217. One can gauge-fix the local $\kappa$-symmetry using the Killing spinors of the brane in ... More

Duality Symmetric Quantization of SuperstringJun 19 1995A general covariant quantization of superparticle, Green-Schwarz superstring and a supermembrane with manifest supersymmetry and duality symmetry is proposed. This quantization provides a natural quantum mechanical description of curved BPS-type backgrounds ... More

Black Holes, Branes and Superconformal SymmetryJan 21 1999Feb 04 1999The main focus of this lecture is on extended objects in adS*S bosonic backgrounds with unbroken supersymmetry. The backgrounds are argued to be exact, special consideration are given to the non-maximal supersymmetry case. The near horizon superspace ... More

Volkov-Akulov theory and D-branesMay 15 1997The action of supersymmetric Born-Infeld theory (D-9-brane in a Lorentz covariant static gauge) has a geometric form of the Volkov-Akulov-type. The first non-linearly realized supersymmetry can be made manifest, the second world-volume supersymmetry is ... More

Wrapped SupermembraneDec 02 1996The Hamiltonian of the wrapping and KK modes of the supermembrane is identified with the SL(2, Z) symmetric axion-dilaton black hole mass formula. It means that the supermembrane with KK modes wrapped $m$ times around the space-time torus of compactified ... More

Supersymmetric Black HolesJan 15 1992The effective action of $N=2$, $d=4$ supergravity is shown to acquire no quantum corrections in background metrics admitting super-covariantly constant spinors. In particular, these metrics include the Robinson-Bertotti metric (product of two 2-dimensional ... More

Cosmological Attractor Models and Higher Curvature SupergravityMar 12 2014We study cosmological $\alpha$-attractors in superconformal/supergravity models, where $\alpha$ is related to the geometry of the moduli space. For $\alpha=1$ attractors \cite{Kallosh:2013hoa} we present a generalization of the previously known manifestly ... More

Creation of Matter in the Universe and Groups of Type E7Oct 18 2011Nov 26 2011We relate the mechanism of matter creation in the universe after inflation to a simple and universal mathematical property of extended N > 1 supergravities and related compactifications of superstring theory. We show that in all such models, the inflaton ... More

Non-minimal Inflationary AttractorsJul 30 2013Sep 08 2013Recently we identified a new class of (super)conformally invariant theories which allow inflation even if the scalar potential is very steep in terms of the original conformal variables. Observational predictions of a broad class of such theories are ... More

New E77 invariants and amplitudesMay 20 2012May 24 2012We construct a new class of manifest E77 duality invariants, which generalize the Cartan quartic invariant, familiar from studies of the black hole entropy. The new ones, being four-linear, are designed for studies of the four-vector amplitudes and to ... More

The footprint of E7 in amplitudes of N=8 supergravityNov 20 2008Dec 18 2008We study the low energy theorems associated with the non-linearly realized continuous E7 symmetry of the on-shell N=8 supergravity. For Nambu-Goldstone bosons we evaluate the one-soft-scalar-bosonemission amplitudes by computing the E7 current matrix ... More

O'KKLTNov 16 2006Jan 28 2007We propose to combine the quantum corrected O'Raifeartaigh model, which has a dS minimum near the origin of the moduli space, with the KKLT model with an AdS minimum. The combined effective N=1 supergravity model, which we call O'KKLT, has a dS minimum ... More

On N=8 attractorsMar 30 2006May 24 2006We derive and solve the black hole attractor conditions of N=8 supergravity by finding the critical points of the corresponding black hole potential. This is achieved by a simple generalization of the symplectic structure of the special geometry to all ... More

Superisometries of the adS*S SuperspaceDec 10 1998We find the superisometry of the near-horizon superspace, forming the superconformal algebra. We present here the explicit form of the transformation of the bosonic and fermionic coordinates (as well as the compensating Lorentz-type transformation) which ... More

Exact Supersymmetric Massive and Massless White HolesJul 05 1995Oct 10 1995We study special points in the moduli space of vacua at which supersymmetric electric solutions of the heterotic string theory become massless. We concentrate on configurations for which supersymmetric non-renormalization theorem is valid. Those are ten-dimensional ... More

Supersymmetry constraints on U-duality invariant deformations of $N \geq 5$ SupergravityDec 20 2018Jan 13 2019Candidate counterterms break E7 type U-duality symmetry of $N \geq 5$ supergravity theories in four dimensions \cite{Kallosh:2011dp}. A proposal was made in \cite{Bossard:2011ij} to restore it, assuming that a supersymmetric source of deformation with ... More

De Sitter Supergravity Model BuildingSep 07 2015We present the explicit de Sitter supergravity action describing the interaction of supergravity with an arbitrary number of chiral and vector multiplets as well as one nilpotent chiral multiplet. The action has a non-Gaussian dependence on the auxiliary ... More

Inflation and Uplifting with Nilpotent SuperfieldsAug 25 2014Nov 26 2014Recently it was found that a broad class of existing inflationary models based on supergravity can be significantly simplified if some of the standard, unconstrained chiral superfields are replaced by nilpotent superfields, associated with Volkov-Akulov ... More

Universality Class in Conformal InflationJun 21 2013Sep 08 2013We develop a new class of chaotic inflation models with spontaneously broken conformal invariance. Observational consequences of a broad class of such models are stable with respect to strong deformations of the scalar potential. This universality is ... More

Superconformal generalizations of the Starobinsky modelJun 13 2013Jun 19 2013We find a way to represent the Starobinsky model in terms of a simple conformally invariant theory with spontaneous symmetry breaking. We also present a superconformal theory, which, upon spontaneous breaking of the superconformal symmetry, provides a ... More

Light-by-Light Scattering Effect in Light-Cone SupergraphsJun 24 2010We give a relatively simple explanation of the light-cone supergraph prediction for the UV properties of the maximally supersymmetric theories. It is based on the existence of a dynamical supersymmetry which is not manifest in the light-cone supergraphs. ... More

Testing String Theory with CMBApr 05 2007Future detection/non-detection of tensor modes from inflation in CMB observations presents a unique way to test certain features of string theory. Current limit on the ratio of tensor to scalar perturbations, r=T/S, is r < 0.3, future detection may take ... More

Supersymmetry and the Brane WorldJan 11 2000Feb 07 2000We investigate the possibility of gravity localization on the brane in the context of supersymmetric theories. To realize this scenario one needs to find a theory with the supersymmetric flow stable in IR at two critical points, one with positive and ... More

M-theory, Cosmological Constant and Anthropic PrincipleAug 21 2002Nov 08 2002We discuss the theory of dark energy based on maximally extended supergravity and suggest a possible anthropic explanation of the present value of the cosmological constant and of the observed ratio between dark energy and energy of matter.

Black Hole Superpartners and Fixed ScalarsNov 21 1996Some bosonic solutions of supergravities admit Killing spinors of unbroken supersymmetry. The anti-Killing spinors of broken supersymmetry can be used to generate the superpartners of stringy black holes. This has a consequent feedback on the metric and ... More

Brane-anti-brane DemocracyApr 30 1996We suggest a duality invariant formula for the entropy and temperature of non-extreme black holes in supersymmetric string theory. The entropy is given in terms of the duality invariant parameter of the deviation from extremality and 56 SU(8) covariant ... More

E(7) Symmetric Area of the Black Hole HorizonFeb 05 1996Feb 15 1996Extreme black holes with 1/8 of unbroken N=8 supersymmetry are characterized by the non-vanishing area of the horizon. The central charge matrix has four generic eigenvalues. The area is proportional to the square root of the invariant quartic form of ... More

O(6,22) BPS Configurations of the Heterotic StringSep 19 1995We present a static multi-center magnetic solution of toroidally compactified heterotic string theory, which is T-duality covariant. The space-time geometry depends on the mass M and on the O(6,22)-norm N of the magnetic charges. For different range of ... More

Charge Quantization of Axion-Dilaton Black HolesFeb 23 1993We present axion-dilaton black-hole and multi-black-hole solutions of the low-energy string effective action. Under $SL(2,R)$ electric-magnetic duality rotations only the ``hair" (charges and asymptotic values of the fields) of our solutions is transformed. ... More

Seven-Disk Manifold, alpha-attractors and B-modesOct 13 2016Oct 28 2016Cosmological alpha-attractor models in \cN=1 supergravity are based on hyperbolic geometry of a Poincar\'e disk with the radius square {\cal R}^2=3\alpha. The predictions for the B-modes, r\approx 3\alpha {4\over N^2}, depend on moduli space geometry ... More

Pure de Sitter SupergravityJul 29 2015Oct 10 2016Using superconformal methods we derive an explicit de Sitter supergravity action invariant under spontaneously broken local ${\cal N}=1$ supersymmetry. The supergravity multiplet interacts with a nilpotent goldstino multiplet. We present a complete locally ... More

$\overline{\rm D3}$ and dSFeb 26 2015May 07 2015The role of the $\overline{\rm D3}$ brane in providing de Sitter vacua with spontaneously broken supersymmetry in the KKLT construction is clarified. The first step in this direction was explained in arXiv:hep-th/0301240, arXiv:hep-th/0308055: it was ... More

Superconformal Generalization of the Chaotic Inflation Model λ φ^4/4 - ξ/ 2 φ^2 RJun 13 2013Jun 19 2013A model of chaotic inflation based on the theory of a scalar field with potential \lambda\phi^4 perfectly matches the observational data if one adds to it a tiny non-minimal coupling to gravity -\xi/2 \phi^2 R with \xi > 0.002. We describe embedding of ... More

Strings, Black Holes, and Quantum InformationFeb 07 2006May 04 2006We find multiple relations between extremal black holes in string theory and 2- and 3-qubit systems in quantum information theory. We show that the entropy of the axion-dilaton extremal black hole is related to the concurrence of a 2-qubit state, whereas ... More

Landscape, the Scale of SUSY Breaking, and InflationNov 01 2004Jan 29 2005We argue that in the simplest version of the KKLT model, the maximal value of the Hubble constant during inflation cannot exceed the present value of the gravitino mass, H< m_{3/2}. This may have important implications for string cosmology and for the ... More

Dirac Action on M5 and M2 Branes with Bulk FluxesJan 12 2005Apr 13 2005We derive an explicit form of the quadratic in fermions Dirac action on the M5 brane for an arbitrary on-shell background of 11D supergravity with non-vanishing fluxes and in presence of a chiral 2-form on M5. This action may be used to generalize the ... More

Cosmological Attractors and Asymptotic Freedom of the Inflaton FieldApr 02 2016Jun 24 2016We show that the inflaton coupling to all other fields is exponentially suppressed during inflation in the cosmological $\alpha$-attractor models. In the context of supergravity, this feature is a consequence of the underlying hyperbolic geometry of the ... More

Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS VacuaNov 05 2014Nov 14 2014The KKLT construction of de Sitter vacua includes an uplifting term coming from an anti-D3-brane. Here we show how this term can arise via spontaneous breaking of supersymmetry, based on the emergence of a nilpotent chiral supermultiplet on the world-volume ... More

Planck, LHC, and $α$-attractorsFeb 26 2015Apr 08 2015We describe a simple class of cosmological models called $\alpha$ attractors, which provide an excellent fit to the latest Planck data. These theories are most naturally formulated in the context of supergravity with logarithmic Kahler potentials. We ... More

New models of chaotic inflation in supergravityAug 19 2010Sep 13 2010We introduce a new class of models of chaotic inflation inspired by the superconformal approach to supergravity. This class of models allows a functional freedom of choice of the inflaton potential V = |f(\phi)|^2. The simplest model of this type has ... More

From lightcone actions to maximally supersymmetric amplitudesMar 02 2011Aug 26 2011In this article actions for N=4 SYM and N=8 supergravity are formulated in terms of a chiral superfield, which contains only the physical degrees of freedom of either theory. In these new actions, which originate from the lightcone superspace, the supergravity ... More

Universality of Sypersymmetric AttractorsMar 14 1996Jun 10 1996The macroscopic entropy-area formula for supersymmetric black holes in N=2,4,8 theories is found to be universal: in d=4 it is always given by the square of the largest of the central charges extremized in the moduli space. The proof of universality is ... More

Killing Spinor IdentitiesJun 18 1993We have found generic Killing spinor identities which bosonic equations of motion have to satisfy in supersymmetric theories if the solutions admit Killing spinors. Those identities constrain possible quantum corrections to bosonic solutions with unbroken ... More

Explicit Action of E7(7) on N=8 Supergravity FieldsFeb 28 2008Jun 16 2008We present an explicit, exact to all orders in gravitational coupling E7(7) symmetry transformations of on-shell N=8 supergravity fields in the gauge with 70 scalars in E7(7)/SU(8) coset space, the local SU(8) symmetry being fixed. The non-linear realization ... More

Simple Sinflaton-less $α$-attractorsJan 25 2019We construct the simplest inflationary $\alpha$-attractor models in supergravity: it has only one scalar, the inflaton. There is no sinflaton since the inflaton belongs to an orthogonal nilpotent superfield where the sinflaton depends on fermion bilinears. ... More

dS Supergravity from 10dAug 28 2018Sep 07 2018We consider flux compactification of type II string theory with local sources on SU(3)-structure manifolds. By adding pseudo-calibrated anti-$Dp$-branes wrapped on supersymmetric cycles we generalize all existing models so that the effective $d=4,$ ${\cal ... More

Escher in the SkyMar 23 2015May 05 2015The cosmological models called $\alpha$-attractors provide an excellent fit to the latest observational data. Their predictions $n_{s} = 1-2/N$ and $r = 12\alpha/N^{2}$ are very robust with respect to the modifications of the inflaton potential. An intriguing ... More

Hidden Superconformal Symmetry of the Cosmological EvolutionNov 13 2013Jan 08 2014In the superconformal formulation of supergravity, the standard supergravity action appears as a result of spontaneous symmetry breaking when the conformal compensator scalar field, the conformon, acquires a nonzero value, giving rise to the Planck mass. ... More

Multi-field Conformal Cosmological AttractorsSep 08 2013We describe a broad class of multi-field inflationary models with spontaneously broken conformal invariance. It generalizes the recently discovered class of cosmological attractors with a single inflaton field. In the new multi-field theories, just as ... More

P-term, D-term and F-term inflationJun 09 2003Sep 30 2003P-term inflation is a version of hybrid inflation which naturally appears in some brane inflation models. It was introduced in the framework of N=2 supersymmetric gauge theory where superconformal SU(2,2|2) symmetry is broken down to N=2 supersymmetry ... More

Dark Energy and the Fate of the UniverseJan 06 2003Jan 22 2003It is often assumed that in the course of the evolution of the universe, the dark energy either vanishes or becomes a positive constant. However, recently it was shown that in many models based on supergravity, the dark energy eventually becomes negative ... More

SuperCosmologyMar 04 2004Mar 05 2004We present a Mathematica package for performing algebraic and numerical computations in cosmological models based on supersymmetric theories. The programs allow for (I) evaluation and study of the properties of a scalar potential in a large class of supergravity ... More

Supersymmetry and AttractorsFeb 26 1996Jun 10 1996We find a general principle which allows one to compute the area of the horizon of N=2 extremal black holes as an extremum of the central charge. One considers the ADM mass equal to the central charge as a function of electric and magnetic charges and ... More

F & H MonopolesJan 04 1996Supersymmetric monopoles of the heterotic string theory associated with arbitrary non-negative number of the left moving modes of the string states are presented. They include H monopoles and their T dual partners F monopoles (ALE instantons). Massive ... More

Dilaton Black Holes Near the HorizonSep 29 1992Sep 29 1992Generic $U(1)^2$ 4-d black holes with unbroken $N=1$ supersymmetry are shown to tend to a Robinson-Bertotti type geometry with a linear dilaton and doubling of unbroken supersymmetries near the horizon. Purely magnetic dilatonic black holes, which have ... More

Supersymmetric Balance of Forces and Condensation of BPS StatesNov 16 1995Until now all known static multi black hole solutions described BPS states with charges of the same sign. Such solutions could not be related to flat directions in the space of BPS states. The total number of such states could not spontaneously increase ... More