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Related papers: Solutions of D=4 Gauged Pseudo-Supergravity

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We reduce the classification of all supersymmetric backgrounds in eleven dimensions to the evaluation of the supercovariant derivative and of an integrability condition, which contains the field equations, on six types of spinors. We…

High Energy Physics - Theory · Physics 2009-10-09 U. Gran , G. Papadopoulos , D. Roest

We describe solutions of type IIA (N=2, D=10) supergravity built under the assumption of the existence of at least one residual chiral supersymmetry. Their geometry is of pp-wave type. Explicit parametrization of the metric and matter field…

High Energy Physics - Theory · Physics 2009-10-30 Cl. Gabriel , M. Rooman , Ph. Spindel

We generalise the notion of a Killing superalgebra, which arises in the physics literature on supergravity, to general dimension, signature and choice of spinor module and Dirac current. We also allow for Lie algebras as well as…

Differential Geometry · Mathematics 2025-10-01 Andrew D. K. Beckett

We present the gauged N=4 (half-maximal) supergravities in four and five spacetime dimensions coupled to an arbitrary number of vector multiplets. The gaugings are parameterized by a set of appropriately constrained constant tensors, which…

High Energy Physics - Theory · Physics 2008-12-13 Jonas Schon , Martin Weidner

Admissible curved space backgrounds for four-dimensional supersymmetric field theories are determined by solving Killing spinor equations of four-dimensional off-shell supergravities. These can be obtained by combining ten-dimensional type…

High Energy Physics - Theory · Physics 2018-10-17 Ruben Minasian , Daniël Prins

Relying on the method of spinorial geometry, purely bosonic supersymmetric solutions in N=2, five-dimensional supergravity theories coupled to vector multiplets in all space-time signatures are found. Explicit examples of some new solutions…

High Energy Physics - Theory · Physics 2021-08-18 W. A. Sabra

We classify solutions of 10d type IIA/B supergravities with orientifolds, on a 4d maximally symmetric spacetime times a 6d group manifold. We then look for new solutions in previously unexplored solution classes, and find some: (anti-) de…

High Energy Physics - Theory · Physics 2022-07-13 David Andriot , Ludwig Horer , Paul Marconnet

We determine the Killing superalgebras underpinning field theories with rigid unextended supersymmetry on Lorentzian four-manifolds by re-interpreting them as filtered deformations of $\mathbb{Z}$-graded subalgebras with maximum odd…

High Energy Physics - Theory · Physics 2016-07-20 Paul de Medeiros , José Figueroa-O'Farrill , Andrea Santi

We initiate the classification of supersymmetric solutions of type II supergravity on $\mathbb{R}^{1,2} \times S^3 \times M_4$. We find explicit local expressions for all backgrounds with either a single Killing spinor or two of equal norm,…

High Energy Physics - Theory · Physics 2018-08-01 Niall T. Macpherson , Jesús Montero , Daniël Prins

We present a new two-parameter family of solutions of Einstein gravity with negative cosmological constant in 2+1 dimensions. These solutions are obtained by squashing the anti-de Sitter geometry along one direction and posses four Killing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eugen Radu

The geometric structure of the null solutions of de Sitter D=5 gauged supergravity coupled to vector multiplets is investigated. These solutions are Kundt metrics, constructed from a one-parameter family of three dimensional Gauduchon-Tod…

High Energy Physics - Theory · Physics 2012-10-08 Jan B. Gutowski , Alberto Palomo-Lozano , W. A. Sabra

We 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…

High Energy Physics - Theory · Physics 2009-11-10 Eric Bergshoeff , Ulf Gran , Roman Linares , Mikkel Nielsen , Tomas Ortin , Diederik Roest

This is the 5th article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J. Teschner. We review the supersymmetric localization of $\mathcal{N}=2$ theories on curved backgrounds in four dimensions using…

High Energy Physics - Theory · Physics 2017-02-06 Vasily Pestun

Certain supergravity theories admit a remarkable consistent dimensional reduction in which the internal space is a sphere. Examples include type IIB supergravity reduced on S^5, and eleven-dimensional supergravity reduced on S^4 or S^7.…

High Energy Physics - Theory · Physics 2015-05-28 H. Lu , C. N. Pope , Zhao-Long Wang

All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the…

High Energy Physics - Theory · Physics 2010-04-05 Jorge Bellorin , Tomas Ortin

We construct the Killing spinors for a class of supersymmetric solutions of type IIB supergravity that are invariant under the non-relativistic Schrodinger algebra. The solutions depend on a five-dimensional Sasaki-Einstein space and it has…

High Energy Physics - Theory · Physics 2009-11-05 Aristomenis Donos , Jerome P. Gauntlett

Taking into account the Green-Schwarz anomaly counterterm in R-symmetry gauged $N=(1,0)$ supergravity in six dimensions, and the associated modification in the Maxwell kinetic term and potential, we observe that the theory admits…

High Energy Physics - Theory · Physics 2025-10-15 Xu Guo , Yi Pang , Ergin Sezgin

Half-supersymmetric geometries of N=2 five-dimensional gauged supergravity have recently been fully classified using spinorial geometry techniques. We use this classification to determine all possible regular half-supersymmetric…

High Energy Physics - Theory · Physics 2011-02-07 J. B. Gutowski , W. A. Sabra

Subject to some relatively mild assumptions, we derive the complete form of all timelike half-supersymmetric solutions to N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets. This is done using spinorial…

High Energy Physics - Theory · Physics 2014-11-20 Dietmar Klemm , Emanuele Zorzan

Starting from a nonlinear realisation of eleven dimensional supergravity based on the group G11, whose generators appear as low level generators of E11, we present a super extended algebra, which leads to a covariant derivative of spinors…

High Energy Physics - Theory · Physics 2007-05-23 Andre Miemiec , Igor Schnakenburg