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We study the effect of S-duality and target-space duality tranformations of $N=4,d=4$ and $N=1,d=10$ supersymmetric configurations on their Killing spinors. We find that, under reasonable assumptions, the dual configurations are also…

High Energy Physics - Theory · Physics 2016-08-14 Tomás Ortín

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 present a maximally supersymmetric IIB string background. The geometry is that of a conformally flat lorentzian symmetric space G/K with solvable G, with a homogeneous five-form flux. We give the explicit supergravity solution, compute…

High Energy Physics - Theory · Physics 2009-11-07 Matthias Blau , José Figueroa-O'Farrill , Christopher Hull , George Papadopoulos

We show that the holonomy of the supercovariant connection for M-theory backgrounds with $N$ Killing spinors reduces to a subgroup of $SL(32-N,\bR)\st (\oplus^N \bR^{32-N})$. We use this to give the necessary and sufficient conditions for a…

High Energy Physics - Theory · Physics 2009-11-10 G. Papadopoulos , D. Tsimpis

We review the recent progress made towards the classification of supersymmetric solutions in ten and eleven dimensions with emphasis on those of IIB supergravity. In particular, the spinorial geometry method is outlined and adapted to…

High Energy Physics - Theory · Physics 2016-04-26 U. Gran , J. Gutowski , G. Papadopoulos , D. Roest

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

We show that there exist supersymmetric solutions of five-dimensional, pure, $\mathcal{N}=1$ Supergravity such that the norm of the supersymmetric Killing vector, built out of the Killing spinor, is a real not-everywhere analytic function…

High Energy Physics - Theory · Physics 2016-08-17 Giulio Pasini , C. S. Shahbazi

Through consistent Kaluza-Klein reduction, we construct 3D $\mathcal{N} =2$ gauged supergravities corresponding to twisted compactifications of M5-branes on a product of constant curvature Riemann surfaces, including K\"{a}hler-Einstein…

High Energy Physics - Theory · Physics 2016-04-07 Parinya Karndumri , Eoin Ó Colgáin

We consider several solutions of supergravity with reduced supersymmetry which are related to wrapped branes, and elaborate on their geometrical and physical interpretation. The Killing spinors are computed for each configuration. In…

High Energy Physics - Theory · Physics 2007-05-23 Angel Paredes

We investigate the hidden symmetries and existence of Killing spinors of D=5 minimal gauged supergravity solutions which admit a Killing-Maxwell system in the sense of Carter, such as the Chong-Cveti$\check{c}$-L\"{u}-Pope (CCLP) Kerr-dS…

General Relativity and Quantum Cosmology · Physics 2020-04-03 Christina Rugina

We summarize our recent work on supergravity backgrounds dual to part of the Coulomb branch of N=1 theories constructed as marginal deformations of N=4 Yang-Mills. In particular, we present a summary of the behaviour of the heavy…

High Energy Physics - Theory · Physics 2009-11-11 Rafael Hernandez , Konstadinos Sfetsos , Dimitrios Zoakos

We study invariant systems of PDEs defining Killing vector-valued forms, and then we specialize to Killing spinor-valued forms. We give a detailed treatment of their prolongation and integrability conditions by relating the point-wise…

Differential Geometry · Mathematics 2020-09-22 Petr Somberg , Petr Zima

We study timelike supersymmetric solutions of a $D=3, N=4$ gauged supergravity using Killing spinor bilinears method and prove that AdS$_3$ is the only solution within this class. We then consider the ungauged version of this model. It is…

High Energy Physics - Theory · Physics 2025-02-12 Nihat Sadik Deger , Ceren Ayse Deral

We consider gauged twistor spinors which are supersymmetry generators of supersymmetric and superconformal field theories in curved backgrounds. We show that the spinor bilinears of gauged twistor spinors satify the gauged conformal…

High Energy Physics - Theory · Physics 2017-03-22 Ümit Ertem

We extend the link between Einstein Sasakian manifolds and Killing spinors to a class of $\eta$-Einstein Sasakian manifolds, both in Riemannian and Lorentzian settings, characterising them in terms of generalised Killing spinors. We propose…

Differential Geometry · Mathematics 2016-04-27 José Figueroa-O'Farrill , Andrea Santi

We consider warp compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes and investigate the constraints imposed by supersymmetry. As long as the 7-manifold supports only one Killing spinor we infer from the Killing…

High Energy Physics - Theory · Physics 2010-02-03 Klaus Behrndt , Claus Jeschek

The Robinson-Trautman solution in the Einstein-Maxwell-$\Lambda$ system admits a shear-free and twist-free null geodesic congruence with a nonvanishing expansion. Restricting to the case where the Maxwell field is aligned, i.e., the…

High Energy Physics - Theory · Physics 2024-11-01 Masato Nozawa

We show how to lift solutions of Euclidean Einstein-Maxwell equations with non-zero cosmological constant to solutions of eleven-dimensional supergravity theory with non-zero fluxes. This yields a class of 11D metrics given in terms of…

High Energy Physics - Theory · Physics 2013-10-07 Maciej Dunajski , Jan Gutowski , Wafic Sabra

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

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