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The techniques of spinorial geometry are used to classify solutions admitting Killing spinors in the theory of minimal anti-de Sitter $N=2$, $D=4$ supergravity, where the gauge kinetic term comes with the opposite sign. There are four…

High Energy Physics - Theory · Physics 2020-01-08 J. B. Gutowski , W. A. Sabra

We review the classification of supersymmetric solutions to minimal gauged supergravity in four dimensions. After a short introduction to the main features of the theory, we explain how to obtain all its solutions admitting a Killing…

High Energy Physics - Theory · Physics 2007-05-23 Marco M. Caldarelli

Minimal massive supergravity is the supersymmetric extension of minimal massive gravity in three dimensions. The theory admits a supersymmetric anti-de Sitter vacuum around which the propagating modes of spin 2 and 3/2 combine into a…

High Energy Physics - Theory · Physics 2025-01-16 Nihat Sadik Deger , Jan Rosseel , Henning Samtleben

We classify all supersymmetric solutions of minimal D=4 gauged supergravity with (2,2) signature and a positive cosmological constant which admit exactly one Killing spinor. This classification produces a geometric structure which is more…

High Energy Physics - Theory · Physics 2021-02-24 J. B. Gutowski , W. A. Sabra

We classify all supersymmetric solutions of minimal gauged supergravity in four dimensions. There are two classes of solutions that are distinguished by the norm of the Killing vector constructed from the Killing spinor. If the Killing…

High Energy Physics - Theory · Physics 2009-11-10 Marco M. Caldarelli , Dietmar Klemm

There are five maximally supersymmetric backgrounds in four-dimensional off-shell N=1 supergravity, two of which are well known: Minkowski superspace M^{4|4} and anti-de Sitter superspace AdS^{4|4}. The three remaining supermanifolds…

High Energy Physics - Theory · Physics 2016-09-21 Sergei M. Kuzenko

The supersymmetric solutions of N=2, D=4 minimal ungauged and gauged supergravity are classified according to the fraction of preserved supersymmetry using spinorial geometry techniques. Subject to a reasonable assumption in the…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Cacciatori , M. M. Caldarelli , D. Klemm , D. S. Mansi , D. Roest

We discuss the relation between solutions admitting Killing spinors of minimal supergravities in five dimensions and four dimensional complex geometries. In the ungauged case (vanishing cosmological constant \Lambda=0) the solutions are…

High Energy Physics - Theory · Physics 2015-05-13 Jai Grover , Jan B. Gutowski , Carlos A. R. Herdeiro , Wafic Sabra

We classify the supersymmetric vacua of N=4, d=5 supergravity in terms of G-structures. We identify three classes of solutions: with R^3, SU(2) and generic SO(4) structure. Using the Killing spinor equations, we fully characterize the first…

High Energy Physics - Theory · Physics 2008-11-26 James T. Liu , Manavendra Mahato , Diana Vaman

Solutions of five dimensional minimal de Sitter supergravity admitting Killing spinors are considered. It is shown that the "timelike'' solutions are determined in terms of a four dimensional hyper-Kahler torsion (HKT) manifold. If the HKT…

High Energy Physics - Theory · Physics 2009-01-26 Jai Grover , Jan B. Gutowski , Carlos A. R. Herdeiro , Wafic Sabra

We classify all pseudo-supersymmetric near horizon geometries of extremal black holes in five dimensional de-Sitter supergravity coupled to vector multiplets. We find that there are three types of solution. The first type corresponds to the…

High Energy Physics - Theory · Physics 2015-05-20 J. B. Gutowski , W. A. Sabra

A general form for all supersymmetric solutions of minimal supergravity in six dimensions is obtained. Examples of new supersymmetric solutions are presented. It is proven that the only maximally supersymmetric solutions are flat space,…

High Energy Physics - Theory · Physics 2011-08-01 Jan B. Gutowski , Dario Martelli , Harvey S. Reall

We find four-dimensional de Sitter compactifications of type IIA supergravity by directly solving the ten-dimensional equations of motion. In the simplest examples, the internal space has the topology of a circle times an Einstein manifold…

High Energy Physics - Theory · Physics 2019-03-13 Clay Cordova , G. Bruno De Luca , Alessandro Tomasiello

Two ways in which de Sitter space can arise in supergravity theories are discussed. In the first, it arises as a solution of a conventional supergravity, in which case it necessarily has no Killing spinors. For example, de Sitter space can…

High Energy Physics - Theory · Physics 2010-02-03 C. M. Hull

The superspace formalism for $\mathcal{N}=1$ supergravity in four dimensions is a powerful geometric setting to engineer off-shell supergravity-matter theories, including higher-derivative couplings. This review provides a unified…

High Energy Physics - Theory · Physics 2022-11-01 S. M. Kuzenko , E. S. N. Raptakis , G. Tartaglino-Mazzucchelli

We investigate supersymmetric solutions of minimal gauged supergravity in five dimensions, in the timelike class. We propose an ansatz based on a four-dimensional local orthotoric Kaehler metric and reduce the problem to a single…

High Energy Physics - Theory · Physics 2016-06-15 Davide Cassani , Jakob Lorenzen , Dario Martelli

We study maximally supersymmetric solutions of all gauged or deformed supergravity theories in $D \ge 3$ space-time dimensions. For vanishing background fluxes the space-time background has to be either Minkowski or anti-de Sitter. We…

High Energy Physics - Theory · Physics 2017-03-08 Jan Louis , Severin Lust

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

All purely bosonic supersymmetric solutions of minimal gauged supergravity in five dimensions are classified. The solutions fall into two classes depending on whether the Killing vector constructed from the Killing spinor is time-like or…

High Energy Physics - Theory · Physics 2014-11-18 Jerome P. Gauntlett , Jan B. Gutowski

The lightlike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets are classified using spinorial geometry techniques. The solutions fall into two classes, depending on whether…

High Energy Physics - Theory · Physics 2009-07-22 Dietmar Klemm , Emanuele Zorzan
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