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The equations underlying all supersymmetric solutions of six-dimensional minimal ungauged supergravity coupled to an anti-self-dual tensor multiplet have been known for quite a while, and their complicated non-linear form has hindered all…

High Energy Physics - Theory · Physics 2012-03-30 Iosif Bena , Stefano Giusto , Masaki Shigemori , Nicholas P. Warner

We review some general and recent results on the characterization and construction of timelike supersymmetric solutions of 4-dimensional supergravity theories.

General Relativity and Quantum Cosmology · Physics 2015-05-20 Tomas Ortin

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

In this note we generalize the methods of [1][2][3] to 5-dimensional Riemannian manifolds M. We study the relations between the geometry of M and the number of solutions to a generalized Killing spinor equation obtained from a 5-dimensional…

High Energy Physics - Theory · Physics 2015-06-16 Yiwen Pan

Off-shell formulations of supergravities allow one to add closed-form higher-derivative super-invariants that are separately supersymmetric to the usual lower-derivative actions. In this paper we study four-dimensional off-shell N=1…

High Energy Physics - Theory · Physics 2013-05-21 Hai-Shan Liu , Hong Lu , Yi Pang , C. N. Pope

We classify supersymmetric solutions of D=5 (3,2) signature supergravity with either vanishing or imaginary gauge coupling constant preserving the minimal N=2 supersymmetry. We prove that the geometry of such solutions is characterized by a…

High Energy Physics - Theory · Physics 2024-02-08 D. Farotti , 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

We first make a Killing spinor analysis for a general three-dimensional off-shell $N=(2,0)$ supergravity and find conditions for a bosonic background to preserve some supersymmetry . We then consider a particular model, namely $N=(2,0)$…

High Energy Physics - Theory · Physics 2016-07-20 Nihat Sadik Deger , George Moutsopoulos

The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to 6-dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved…

High Energy Physics - Theory · Physics 2015-06-19 M. Akyol , G. Papadopoulos

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 outline the solution of the Killing spinor equations of the heterotic supergravity. In addition, we describe the classification of all half supersymmetric solutions.

Differential Geometry · Mathematics 2008-11-11 Ulf Gran , George Papadopoulos

We first classify all supersymmetric solutions of the 3-dimensional half-maximal ungauged supergravity that possess a timelike Killing vector coming from the Killing spinor bilinear by considering their identification under the…

High Energy Physics - Theory · Physics 2015-07-09 Nihat Sadik Deger , George Moutsopoulos , Henning Samtleben , Ozgur Sarioglu

We study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence with solutions to a set of differential constraints on an…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Martin Fluder , Carolina M. Gregory , Paul Richmond , James Sparks

We study non-supersymmetric solutions of five dimensional N=2 supergravity theories coupled to an arbitrary number of abelian vector multiplets. The solutions constructed can be considered as deformations of known supersymmetric black hole…

High Energy Physics - Theory · Physics 2009-05-29 J. B. Gutowski , W. A. 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

We classify all the supersymmetric configurations of ungauged N=2,d=4 supergravity coupled to n vector multiplets and determine under which conditions they are also classical solutions of the equations of motion. The supersymmetric…

High Energy Physics - Theory · Physics 2008-11-26 P. Meessen , T. Ortin

We study the hidden symmetries arising in the dimensional reduction of d=5, N=2 supergravity to three dimensions. Extending previous partial results for the bosonic part, we give a derivation that includes fermionic terms, shedding light on…

High Energy Physics - Theory · Physics 2010-04-05 Markus Pössel , Sebastian Silva

We study supersymmetric solutions within seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets in seven dimensions. The gauged supergravity contains six vector fields that gauge the $SO(4)\sim SO(3)\times SO(3)$…

High Energy Physics - Theory · Physics 2018-10-17 Parinya Karndumri , Patharadanai Nuchino

We simplify the classification of supersymmetric solutions with compact holonomy of the Killing spinor equations of heterotic supergravity using the field equations and the additional assumption that the 3-form flux is closed. We determine…

High Energy Physics - Theory · Physics 2010-05-07 George Papadopoulos

From five-dimensional $N=4$ matter-coupled gauged supergravity, smooth time-dependent cosmological solutions, connecting a $dS_{5-d}\times H^d$ (with $d=2,3$) spacetime at early times to a $dS_5$ spacetime at late times, are presented. The…

High Energy Physics - Theory · Physics 2025-07-01 H. L. Dao