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Duality Symmetries and the Type II String Effective ActionSep 26 1995We discuss the duality symmetries of Type II string effective actions in nine, ten and eleven dimensions. As a by-product we give a covariant action underlying the ten--dimensional Type IIB supergravity theory. We apply duality symmetries to construct ... More

3D Born-Infeld Gravity and SupersymmetryMay 23 2014Aug 26 2014We construct the most general parity-even higher-derivative N=1 off-shell supergravity model in three dimensions with a maximum of six derivatives. Excluding terms quadratic in the curvature tensor with two explicit derivatives and requiring the absence ... More

On Domain-wall/QFT dualities in various dimensionsJan 11 2000We investigate domain-wall/quantum field theory correspondences in various dimensions. We give particular emphasis to the special case of the quantum mechanics of 0--branes.

Symmetries of string, M and F-theoriesOct 23 2000The d=10 type II string theories, d=11 M-theory and d=12 F-theory have the same symmetry group. It can be viewed either as a subgroup of a conformal group OSp(1|64) or as a contraction of OSp(1|32). The theories are related by different identifications ... More

A Topologically Massive Gauge Theory with 32 SuperchargesOct 02 2008Dec 04 2008We construct a novel topologically massive abelian Chern-Simons gauge theory with 32 global supersymmetries in three spacetime dimensions. In spite of the 32 supercharges, the theory exhibits massive excitations only up to spin 1. The possibility of such ... More

The unifying superalgebra OSp(1|32)Oct 23 2000We show how OSp(1|32) gives a unifying framework to describe d=10 type II string theories, d=11 M-theory and d=12 F-theory. The theories are related by different identifications of their symmetry operators as generators of OSp(1|32). T- and S-dualities ... More

Heterotic wrapping rulesOct 04 2012Oct 18 2012We show that the same wrapping rules that have been derived for the branes of IIA and IIB string theory also apply to the branes of the toroidally compactified heterotic string theory. Moreover, we show that applying these wrapping rules to the IIA theory ... More

String Solitons and T-dualityFeb 04 2011Jun 23 2011We construct for arbitrary dimensions a universal T-duality covariant expression for the Wess-Zumino terms of supersymmetric String Solitons in toroidally compactified string theories with 32 supercharges. The worldvolume fields occurring in the effective ... More

D-Brane Wess-Zumino Terms and U-DualitySep 23 2010Oct 20 2010We construct gauge-invariant and U-duality covariant expressions for Wess-Zumino terms corresponding to general Dp-branes (for any p<D) in arbitrary 2<D<11 dimensions. A distinguishing feature of these Wess-Zumino terms is that they contain twice as many ... More

Three-Dimensional Extended Bargmann SupergravityApr 27 2016Jun 03 2016We show that three-dimensional General Relativity, augmented with two vector fields, allows for a non-relativistic limit, different from the standard limit leading to Newtonian gravity, that results into a well-defined action which is of the Chern-Simons ... More

Dual doubled geometryJun 01 2011We probe doubled geometry with dual fundamental branes, i.e. solitons. Restricting ourselves first to solitonic branes with more than two transverse directions we find that the doubled geometry requires an effective wrapping rule for the solitonic branes ... More

BPS Open Strings and A-D-E-singularities in F-theory on K3Oct 19 2009We improve on a recently constructed graphical representation of the supergravity 7-brane solution and apply this refined representation to re-study the open string description of the A-D-E-singularities in F-theory on K3. A noteworthy feature of the ... More

The many faces of OSp(1|32)Mar 28 2000We show that the complete superalgebra of symmetries, including central charges, that underlies F-theories, M-theories and type II string theories in dimensions 12, 11 and 10 of various signatures correspond to rewriting of the same OSp(1|32) algebra ... More

The D-brane U-scanSep 08 2011We consider the D-branes that occur in IIA/IIB string theory compactified on a torus. We review how a general expression for the Wess-Zumino term of such branes is derived. We also review the method to determine the D-brane Wess-Zumino term in a U-duality ... More

Branes and wrapping rulesAug 25 2011We show that the branes of ten-dimensional IIA/IIB string theory must satisfy, upon toroidal compactification, specific wrapping rules in order to reproduce the number of supersymmetric branes that follows from a supergravity analysis. The realization ... More

The Eleven-Dimensional Five-BraneJun 19 1996We consider the action, in arbitrary curved background, of the eleven-dimensional five-brane to second order in the curvature of the worldvolume tensor field. We show that this action gives upon double dimensional reduction the action of the Dirichlet ... More

(2,0) Tensor Multiplets and Conformal Supergravity in D=6Apr 12 1999Jun 30 1999We construct the supercurrent multiplet that contains the energy-momentum tensor of the (2,0) tensor multiplet. By coupling this multiplet of currents to the fields of conformal supergravity, we first construct the linearized superconformal transformations ... More

On-shell versus Off-shell Equivalence in 3D GravityDec 21 2018A given field theory action determines a set of field equations but other actions may yield equivalent field equations; if so they are on-shell equivalent. They may also be off-shell equivalent, being related by the elimination of auxiliary fields or ... More

On M-9-branesJun 09 1998We discuss some properties of the conjectured M-9-brane. We investigate both the worldvolume action as well as the target space solution. The worldvolume action is given by a gauged sigma model which, via dimensional reduction and duality, is shown to ... More

Q7-branes and their coupling to IIB supergravityAug 17 2007We show how, by making use of a new basis of the IIB supergravity axion-dilaton coset, SL(2,R)/SO(2), 7-branes that belong to different conjugacy classes of the duality group SL(2,R) naturally couple to IIB supergravity with appropriate source terms characterized ... More

The Massive Kaluza-Klein MonopoleFeb 28 1998Mar 27 1998We construct the (bosonic) effective worldvolume action of an M-theory Kaluza-Klein monopole in a background given by the bosonic sector of eleven-dimensional massive supergravity, i.e. a "massive Kaluza-Klein monopole". As a consistency check we show ... More

Non-relativistic fields from arbitrary contracting backgroundsDec 18 2015We discuss a non-relativistic contraction of massive and massless field theories minimally coupled to gravity. Using the non-relativistic limiting procedure introduced in our previous work, we (re-)derive non-relativistic field theories of massive and ... More

Newton-Cartan supergravity with torsion and Schrödinger supergravitySep 15 2015Oct 02 2015We derive a torsionfull version of three-dimensional N=2 Newton-Cartan supergravity using a non-relativistic notion of the superconformal tensor calculus. The "superconformal" theory that we start with is Schr\"odinger supergravity which we obtain by ... More

Off-shell D=5, N=2 Riemann Squared SupergravityJul 14 2011Aug 10 2011We construct a new off-shell invariant in N=2, D=5 supergravity whose leading term is the square of the Riemann tensor. It contains a gravitational Chern-Simons term involving the vector field that belongs to the supergravity multiplet. The action is ... More

Supersymmetry of RS bulk and braneDec 13 2000We review the construction of actions with supersymmetry on spaces with a domain wall. The latter objects act as sources inducing a jump in the gauge coupling constant. Despite these singularities, supersymmetry can be formulated, maintaining its role ... More

On massive gravitons in 2+1 dimensionsDec 15 2009Dec 22 2009The Fierz-Pauli (FP) free field theory for massive spin 2 particles can be extended, in a spacetime of (1+2) dimensions (3D), to a generally covariant parity-preserving interacting field theory, in at least two ways. One is "new massive gravity" (NMG), ... More

Nonrelativistic String Theory and T-DualityJun 15 2018Nov 21 2018Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete and has a string ... More

Kaluza-Klein Monopoles and Gauged Sigma-ModelsJun 15 1997Jul 31 1997We propose an effective action for the eleven-dimensional (bosonic) Kaluza-Klein monopole solution. The construction of the action requires that the background fields admit an Abelian isometry group. The corresponding sigma-model is gauged with respect ... More

Solution--Generating Transformations and the String Effective ActionJun 23 1995Feb 15 1996We study exhaustively the solution-generating transformations (dualities) that occur in the context of the low-energy effective action of superstring theory. We first consider target-space duality (``T duality'') transformations in absence of vector fields. ... More

Towards a classification of branes in theories with eight superchargesFeb 11 2014We provide a classification of half-supersymmetric branes in quarter-maximal supergravity theories with scalars parametrising coset manifolds. Guided by the results previously obtained for the half-maximal theories, we are able to show that half-supersymmetric ... More

Supersymmetric Domain WallsJun 25 2012We classify the half-supersymmetric "domain walls", i.e. branes of codimension one, in toroidally compactified IIA/IIB string theory and show to which gauged supergravity theory each of these domain walls belong. We use as input the requirement of supersymmetric ... More

The Domain Walls of Gauged Maximal Supergravities and their M-theory OriginApr 14 2004May 28 2004We consider gauged maximal supergravities with CSO(p,q,r) gauge groups and their relation to the branes of string and M-theory. The gauge groups are characterised by n mass parameters, where n is the transverse dimension of the brane. We give the scalar ... More

Dynamics of Carroll ParticlesMay 09 2014May 31 2014We investigate particles whose dynamics is invariant under the Carroll group. Although a single free such Carroll particle has no non-trivial dynamics (`the Carroll particle does not move') we show that there exists non-trivial dynamics for a set of interacting ... More

On-shell versus Off-shell Equivalence in 3D GravityDec 21 2018Mar 30 2019A given field theory action determines a set of field equations but other actions may yield equivalent field equations; if so they are on-shell equivalent. They may also be off-shell equivalent, being related by the elimination of auxiliary fields or ... More

Torsional Newton-Cartan Geometry and the Schrödinger AlgebraSep 19 2014Oct 27 2014We show that by gauging the Schr\"odinger algebra with critical exponent $z$ and imposing suitable curvature constraints, that make diffeomorphisms equivalent to time and space translations, one obtains a geometric structure known as (twistless) torsional ... More

The identification of conformal hypercomplex and quaternionic manifoldsDec 04 2005We review the map between hypercomplex manifolds that admit a closed homothetic Killing vector (i.e. `conformal hypercomplex' manifolds) and quaternionic manifolds of 1 dimension less. This map is related to a method for constructing supergravity theories ... More

Brane orbitsJan 27 2012We complete the classification of half-supersymmetric branes in toroidally compactified IIA/IIB string theory in terms of representations of the T-duality group. As a by-product we derive a last wrapping rule for the space-filling branes. We find examples ... More

Supersymmetry in Singular SpacesJul 06 2000Dec 06 2000We develop the concept of supersymmetry in singular spaces, apply it in an example for 3-branes in D=5 and comment on 8-branes in D=10. The new construction has an interpretation that the brane is a sink for the flux and requires adding to the standard ... More

Reduction of open membrane moduliNov 07 2001We perform a general reduction of the open membrane metric in a worldvolume direction of the M5-brane. Using reduction rules analogous to the bulk, we show that the open membrane metric leads to the standard open string metric and open string coupling ... More

M-brane intersections from worldvolume superalgebrasNov 06 1997Jan 09 1998It is known that the M-branes of M-theory correspond to p-form charges in the D=11 spacetime supersymmetry algebra. Here we show that their intersections are encoded in the p-form charges of their worldvolume supersymmetry algebras. Triple intersections ... More

Newton-Cartan (super)gravity as a non-relativistic limitMay 08 2015Sep 28 2015We define a procedure that, starting from a relativistic theory of supergravity, leads to a consistent, non-relativistic version thereof. As a first application we use this limiting procedure to show how the Newton-Cartan formulation of non-relativistic ... More

Intersecting D-Branes in ten and six dimensionsApr 26 1996Oct 16 1996We show how, via $T$-duality, intersecting $D$-Brane configurations in ten (six) dimensions can be obtained from the elementary $D$-Brane configurations by embedding a Type IIB $D$-Brane into a Type IIB Nine-Brane (Five-Brane) and give a classification ... More

Branes, Weights and Central ChargesMar 01 2013Dec 18 2014We study the properties of half-supersymmetric branes in string theory with 32 supercharges from a purely group-theoretical point of view using the U-duality symmetry of maximal supergravity and the R-symmetry of the corresponding supersymmetry algebra. ... More

Exotic Dual of Type II Double Field TheoryDec 08 2016We perform an exotic dualization of the Ramond-Ramond fields in type II double field theory, in which they are encoded in a Majorana-Weyl spinor of O(D,D). Starting from a first-order master action, the dual theory in terms of a tensor-spinor of O(D,D) ... More

Black-Hole-Wave Duality in String TheoryJun 03 1994Extreme 4-dimensional dilaton black holes embedded into 10-dimensional geometry are shown to be dual to the gravitational waves in string theory. The corresponding gravitational waves are the generalization of pp-fronted waves, called supersymmetric string ... More

Exact Duality in String Effective ActionJan 07 1994Feb 03 1994We formulate sigma-model duality transformations in terms of spin connection. This allows to investigate the symmetry of the string action including higher order $\alpha'$ corrections. An important feature of the new duality transformations is a simple ... More

The Symmetries of the Carroll SuperparticleMar 20 2015Motivated by recent applications of Carroll symmetries we investigate the geometry of flat and curved (AdS) Carroll space and the symmetries of a particle moving in such a space both in the bosonic as well as in the supersymmetric case. In the bosonic ... More

Stringy cosmic strings in matter coupled N=2, d=4 supergravityNov 06 2007Jan 14 2008We extend the system of ungauged N=2, d=4 supergravity coupled to vector multiplets and hypermultiplets with 2-form potentials. The maximal number of 2-form potentials that one may introduce is equal to the number of isometries of either the special Kaehler ... More

The Super D9-Brane and its TruncationsJan 13 1999Mar 24 1999We consider two inequivalent truncations of the super D9--brane: the ``Heterotic'' and the ``Type I'' truncation. Both of them lead to an N=1 nonlinear supersymmetrization of the D=10 cosmological constant. The propagating degrees of freedom in the Heterotic ... More

Can dual gravity be reconciled with E11?Mar 25 2009Apr 27 2009We extend a recently proposed formulation of dual gravity to the case of eleven-dimensional supergravity. The supersymmetric action corresponding to this alternative formulation is given, and it is shown that it leads to a set of first-order duality relations ... More

A Note on E11 and Three-dimensional Gauged SupergravityMar 20 2008May 23 2008We determine the gauge symmetries of all p-forms in maximal three-dimensional gauged supergravity by requiring invariance of the Lagrangian. It is shown that in a particular ungauged limit these symmetries are in precise correspondence to those predicted ... More

Newton-Cartan SupergravityMay 29 2013Jun 19 2013We construct a supersymmetric extension of three-dimensional Newton-Cartan gravity by gauging a super-Bargmann algebra. In order to obtain a non-trivial supersymmetric extension of the Bargmann algebra one needs at least two supersymmetries leading to ... More

Extended massive gravity in three dimensionsMay 23 2014May 30 2014Using a first order Chern-Simons-like formulation of gravity we systematically construct higher-derivative extensions of general relativity in three dimensions. The construction ensures that the resulting higher-derivative gravity theories are free of ... More

Transient Quintessence from Group Manifold Reductions or how all roads lead to RomeDec 10 2003Jan 08 2004We investigate the accelerating phases of cosmologies supported by a metric, scalars and a single exponential scalar potential. The different solutions can be represented by trajectories on a sphere and we find that quintessence happens within the "arctic ... More

`Stringy' Newton-Cartan GravityJun 22 2012We construct a "stringy" version of Newton-Cartan gravity in which the concept of a Galilean observer plays a central role. We present both the geodesic equations of motion for a fundamental string and the bulk equations of motion in terms of a gravitational ... More

More on Massive 3D GravityMay 08 2009Jun 22 2009We explore the space of static solutions of the recently discovered three-dimensional `New Massive Gravity' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant $\lambda$. For $\lambda=-1$ ... More

Massive Gravity in Three DimensionsJan 13 2009May 05 2009A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model, which also includes ... More

Open M5-branesJul 25 2006Dec 08 2006We show how, in heterotic M-theory, an M5-brane in the 11-dimensional bulk may end on an ``M9-brane'' boundary, the M5-brane boundary being a Yang monopole 4-brane. This possibility suggests various novel 5-brane configurations of heterotic M-theory, ... More

Dual Double Field TheoryMar 23 2016Jun 02 2016We present the dual formulation of double field theory at the linearized level. This is a classically equivalent theory describing the duals of the dilaton, the Kalb-Ramond field and the graviton in a T-duality or O(D,D) covariant way. In agreement with ... More

Interacting spin-2 fields in three dimensionsOct 22 2014Jan 14 2015Using the frame formulation of multi-gravity in three dimensions, we show that demanding the presence of secondary constraints which remove the Boulware-Deser ghosts restricts the possible interaction terms of the theory and identifies invertible frame ... More

On Topologically Massive Spin-2 Gauge Theories beyond Three DimensionsJul 01 2012Oct 15 2012We investigate in which sense, at the linearized level, one can extend the 3D topologically massive gravity theory beyond three dimensions. We show that, for each k=1,2,3... a free topologically massive gauge theory in 4k-1 dimensions can be defined describing ... More

On nonrelativistic 3D Spin-1 theoriesJan 08 2018Jan 12 2018We describe non-relativistic limits of the 3D Proca and square-root Proca theories that yield spin-1 Schroedinger equations. Analogous results are found by generalized null reduction of the 4D Maxwell or complex self-dual Maxwell equations. We briefly ... More

Modes of Log GravityFeb 20 2011Mar 16 2011The physical modes of a recently proposed D-dimensional "critical gravity", linearized about its anti-de Sitter vacuum, are investigated. All "log mode" solutions, which we categorize as `spin 2' or `Proca', arise as limits of the massive spin 2 modes ... More

Newtonian Gravity and the Bargmann AlgebraNov 04 2010May 25 2011We show how the Newton-Cartan formulation of Newtonian gravity can be obtained from gauging the Bargmann algebra, i.e., the centrally extended Galilean algebra. In this gauging procedure several curvature constraints are imposed. These convert the spatial ... More

Multiple Membranes from Gauged SupergravityJun 16 2008Aug 26 2008Starting from gauged N=8 supergravity in three dimensions we construct actions for multiple membranes by taking the limit to global supersymmetry for different choices of the embedding tensor. This provides a general framework that reproduces many recent ... More

Three-dimensional Spin-3 Theories Based on General Kinematical AlgebrasDec 07 2016We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible In\"on\"u--Wigner contraction ... More

Domain Walls and the Creation of StringsMar 28 2003May 27 2003The phenomenon of creation of strings, occurring when particles pass through a domain wall and related to the Hanany-Witten effect via dualities, is discussed in ten and nine dimensions. We consider both the particle actions in massive backgrounds as ... More

Lie Algebra Expansions and Actions for Non-Relativistic GravityApr 17 2019We show that the general method of Lie algebra expansions can be applied to re-construct several algebras and related actions for non-relativistic gravity that have occurred in the recent literature. We explain the method and illustrate its applications ... More

An Action for Extended String Newton-Cartan GravityOct 22 2018Jan 30 2019We construct an action for four-dimensional extended string Newton-Cartan gravity which is an extension of the string Newton-Cartan gravity that underlies nonrelativistic string theory. The action can be obtained as a nonrelativistic limit of the Einstein-Hilbert ... More

Logarithmic AdS Waves and Zwei-Dreibein GravityJan 21 2014We show that the parameter space of Zwei-Dreibein Gravity (ZDG) in AdS3 exhibits critical points, where massive graviton modes coincide with pure gauge modes and new `logarithmic' modes appear, similar to what happens in New Massive Gravity. The existence ... More

Seven-branes and SupersymmetryDec 08 2006We re-investigate the construction of half-supersymmetric 7-brane solutions of IIB supergravity. Our method is based on the requirement of having globally well-defined Killing spinors and the inclusion of SL(2,Z)-invariant source terms. In addition to ... More

A Non-relativistic Logarithmic Conformal Field Theory from a Holographic Point of ViewJun 30 2011Jul 13 2011We study a fourth-order derivative scalar field configuration in a fixed Lifshitz background. Using an auxiliary field we rewrite the equations of motion as two coupled second order equations. We specialize to the limit that the mass of the scalar field ... More

Multiple M2-branes and the Embedding TensorApr 14 2008Apr 17 2008We show that the Bagger-Lambert theory of multiple M2-branes fits into the general construction of maximally supersymmetric gauge theories using the embedding tensor technique. We apply the embedding tensor technique in order to systematically obtain ... More

Higher Derivative Extension of 6D Chiral Gauged SupergravityMar 13 2012Jul 03 2012Six-dimensional (1,0) supersymmetric gauged Einstein-Maxwell supergravity is extended by the inclusion of a supersymmetric Riemann tensor squared invariant. Both the original model as well as the Riemann tensor squared invariant are formulated off-shell ... More

On Maximal Massive 3D SupergravityJul 23 2010We construct, at the linearized level, the three-dimensional (3D) N = 4 supersymmetric "general massive supergravity" and the maximally supersymmetric N = 8 "new massive supergravity". We also construct the maximally supersymmetric linearized N = 7 topologically ... More

On Higher Derivatives in 3D Gravity and Higher Spin Gauge TheoriesNov 16 2009Feb 20 2010The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field equations. ... More

The Third Way to 3D GravityJun 19 2015Consistency of Einstein's gravitational field equation $G_{\mu\nu} \propto T_{\mu\nu}$ imposes a "conservation condition" on the $T$-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion, and (ii) identically ... More

The different faces of branes in Double Field TheoryMar 13 2019We show how the Wess-Zumino terms of the different branes in string theory can be embedded within double field theory. Crucial ingredients in our construction are the identification of the correct brane charge tensors {and the use of the} double field ... More

Kac-Moody Spectrum of (Half-)Maximal SupergravitiesNov 13 2007Mar 04 2008We establish the correspondence between, on one side, the possible gaugings and massive deformations of half-maximal supergravity coupled to vector multiplets and, on the other side, certain generators of the associated very extended Kac-Moody algebras. ... More

Domain Walls on the BraneJan 23 1998We show that all branes admit worldvolume domain wall solutions. We find one class of solutions for which the tension of the brane changes discontinuously along the domain wall. These solutions are not supersymmetric. We argue that there is another class ... More

The different faces of branes in Double Field TheoryMar 13 2019Mar 27 2019We show how the Wess-Zumino terms of the different branes in string theory can be embedded within double field theory. Crucial ingredients in our construction are the identification of the correct brane charge tensors and the use of the double field theory ... More

Gravity and the spin-2 planar Schroedinger equationDec 28 2017Mar 25 2018A Schroedinger equation proposed for the GMP gapped spin-2 mode of fractional Quantum Hall states is found from a novel non-relativistic limit, applicable only in 2+1 dimensions, of the massive spin-2 Fierz-Pauli field equations. It is also found from ... More

Gravitons in FlatlandJul 26 2010Aug 04 2010We review some features of three-dimensional (3D) massive gravity theories. In particular, we stress the role of the Schouten tensor, explore an analogy with Lovelock gravity and discuss renormalizabilty.

Construction of the de Sitter supergravityFeb 04 2016Feb 15 2016Recently, the complete action for an N=1 pure supergravity action in 4 dimensions that allows a positive, negative or zero cosmological constant has been constructed. The action is the generalization of a Volkov-Akulov action for the Goldstino coupled ... More

IIB Supergravity RevisitedJun 01 2005Jan 17 2006We show in the SU(1,1)-covariant formulation that IIB supergravity allows the introduction of a doublet and a quadruplet of ten-form potentials. The Ramond-Ramond ten-form potential which is associated with the SO(32) Type I superstring is in the quadruplet. ... More

A Schrödinger approach to Newton-Cartan and Hořava-Lifshitz gravitiesDec 19 2015We define a `non-relativistic conformal method', based on a Schr\"odinger algebra with critical exponent z = 2, as the non-relativistic version of the relativistic conformal method. An important ingredient of this method is the occurrence of a complex ... More

Superconformal N=2, D=5 matter with and without actionsMay 22 2002Sep 15 2006We investigate N=2, D=5 supersymmetry and matter-coupled supergravity theories in a superconformal context. In a first stage we do not require the existence of a Lagrangian. Under this assumption, we already find at the level of rigid supersymmetry, i.e. ... More

The Bianchi Classification of Maximal D=8 Gauged SupergravitiesJun 19 2003Aug 26 2003We perform the generalised dimensional reduction of D=11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct eleven different maximal D=8 gauged supergravities, two of which have an additional parameter. One ... More

On "New Massive" 4D GravityFeb 07 2012May 14 2012We construct a four-dimensional (4D) gauge theory that propagates, unitarily, the five polarization modes of a massive spin-2 particle. These modes are described by a "dual" graviton gauge potential and the Lagrangian is 4th-order in derivatives. As the ... More

A spin-4 analog of 3D massive gravitySep 02 2011Dec 14 2011A 6th-order, but ghost-free, gauge-invariant action is found for a 4th-rank symmetric tensor potential in a three-dimensional (3D) Minkowski spacetime. It propagates two massive modes of spin 4 that are interchanged by parity, and is thus a spin-4 analog ... More

The map between conformal hypercomplex/hyper-Kaehler and quaternionic(-Kaehler) geometryNov 23 2004Sep 15 2006We review the general properties of target spaces of hypermultiplets, which are quaternionic-like manifolds, and discuss the relations between these manifolds and their symmetry generators. We explicitly construct a one-to-one map between conformal hypercomplex ... More

Massive N=2 Supergravity in Three DimensionsDec 09 2014Mar 02 2015There exists two distinct off-shell ${\mathcal{N}}=2$ supergravities in three dimensions. They are also referred to as ${\mathcal{N}}=(1,1)$ and ${\mathcal{N}}=(2,0)$ supergravities, and they arise from the coupling of the Weyl multiplet to a compensating ... More

Zwei-Dreibein GravityJul 10 2013Dec 17 2013We present a generally-covariant and parity-invariant "zwei-dreibein" action for gravity in three space-time dimensions that propagates two massive spin-2 modes, unitarily, and we use Hamiltonian methods to confirm the absence of unphysical degrees of ... More

On Critical Massive (Super)Gravity in adS3Nov 04 2010Nov 10 2010We review the status of three-dimensional "general massive gravity" (GMG) in its linearization about an anti-de Sitter (adS) vacuum, focusing on critical points in parameter space that yield generalizations of "chiral gravity". We then show how these ... More

IIB Nine-branesJan 18 2006Jul 11 2006We calculate the tensions of all half-supersymmetric nine-branes in IIB string theory. In particular, we point out the existence of a solitonic IIB nine-brane. We find that the D9-brane and its duality transformations parametrize a two-dimensional surface ... More

Gauge Theories, Duality Relations and the Tensor HierarchyJan 14 2009Apr 28 2009We compute the complete 3- and 4-dimensional tensor hierarchies, i.e. sets of p-form fields, with $1\le p\le D$, which realize an off-shell algebra of bosonic gauge transformations. We show how these tensor hierarchies can be put on-shell by introducing ... More

E10 and Gauged Maximal SupergravityOct 31 2008Jan 08 2009We compare the dynamics of maximal three-dimensional gauged supergravity in appropriate truncations with the equations of motion that follow from a one-dimensional E10/K(E10) coset model at the first few levels. The constant embedding tensor, which describes ... More

Supersymmetric Backgrounds and Black Holes in ${\cal N}=(1,1)$ Cosmological New Massive SupergravityJul 24 2015Oct 27 2015Using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the ${\cal N}=(1,1)$ Cosmological New Massive Gravity model. The solutions with a null Killing vector are the ... More

An index for the Dirac operator on D3 branes with background fluxesJul 07 2005Apr 22 2006We study the problem of instanton generated superpotentials in Calabi-Yau orientifold compactifications directly in type IIB string theory. To this end, we derive the Dirac equation on a Euclidean D3 brane in the presence of background fluxes. We propose ... More

The Non-Relativistic Superparticle in a Curved BackgroundJun 27 2014Sep 08 2014Using a component formulation, we construct the supersymmetric action for a superparticle in a three-dimensional Newton-Cartan supergravity background and clarify its symmetries. Our construction proceeds by first constructing the superparticle in a flat ... More