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We study how the supersymmetry algebra copes with gravitational duality. As a playground, we consider a charged Taub-NUT solution of D=4, N=2 supergravity. We find explicitly its Killing spinors, and the projection they obey provides…

High Energy Physics - Theory · Physics 2009-06-30 Riccardo Argurio , François Dehouck , Laurent Houart

Pseudo-supersymmetric solutions of minimal $N=2$, $D=4$ de Sitter supergravity are classified using spinorial geometry techniques. We find three classes of solutions. The first class of solution consists of geometries which are fibrations…

High Energy Physics - Theory · Physics 2018-01-24 J. B. Gutowski , W. A. Sabra

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

In this note, we construct explicit Type IIA uplifts of $D=5$ minimal gauged supergravity, by T-dualising known Type IIB uplifts on $N_5 = S^5$, $T^{1,1}$ and $Y^{p,q}$ along their $SU(2)$ isometries. When the $D=5$ gauge field is set to…

High Energy Physics - Theory · Physics 2022-06-13 K. C. Matthew Cheung , Rahim Leung

Supersymmetric warped product dS4 solutions in D=11 supergravity are classified. The Killing spinor is associated with two possible stabilizer groups, SU(3) and G_2. We show that there are no solutions to the Killing Spinor equations in the…

High Energy Physics - Theory · Physics 2022-10-19 M. Di Gioia , J. Gutowski

I review a recently proposed method for determining the symmetry superalgebra of a supergravity configuration from its Killing spinors, and its application to the `near-horizon' limits of various rotating and intersecting branes.

High Energy Physics - Theory · Physics 2007-05-23 P. K. Townsend

In the main part of this thesis, we present the foundations and initial results of the Spinorial Geometry formalism for solving Killing spinor equations. This method can be used for any supergravity theory, although we largely focus on D=11…

High Energy Physics - Theory · Physics 2007-05-23 Joe Gillard

It is shown that, under certain conditions, the existence of a Killing spinor on a bosonic background of a supergravity theory implies that the Einstein equations are also satisfied. As an application of the theorem, we obtain a new black…

High Energy Physics - Theory · Physics 2009-10-31 Ali Kaya

We investigate all N=2 supersymmetric IIB supergravity backgrounds with non-vanishing five-form flux. The Killing spinors have stability subgroups $Spin(7)\ltimes\bR^8$, $SU(4)\ltimes\bR^8$ and $G_2$. In the $SU(4)\ltimes\bR^8$ case, two…

High Energy Physics - Theory · Physics 2008-11-26 U. Gran , J. Gutowski , G. Papadopoulos

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

We introduce a general class of toric gravitational instantons in $D=4$, $\mathcal{N}=2$ gauged supergravity, namely Euclidean supersymmetric solutions with $U(1)^2$ isometry. Such solutions are specified by a "supergravity labelled…

High Energy Physics - Theory · Physics 2025-04-11 Pietro Benetti Genolini , Jerome P. Gauntlett , Yusheng Jiao , Alice Lüscher , James Sparks

We construct new classes of supersymmetric $AdS_2\times \Sigma$ solutions, where $\Sigma=\Sigma(n_N,n_S)$ is a spindle. Such solutions can arise as the near horizon limit of supersymmetric, accelerating black holes. The solutions are…

High Energy Physics - Theory · Physics 2026-05-07 Igal Arav , Jerome P. Gauntlett , Jaeha Park , Matthew M. Roberts , Christopher Rosen

We consider general charged Kasner-like solutions for the theory of five-dimensional supergravity coupled to Abelian vector multiplets in arbitrary space-time signature. These solutions, depending on the choice of coordinates, can be…

High Energy Physics - Theory · Physics 2022-08-31 W. A. Sabra

We show that, when compactified on a circle, N=(2,0),d=6 supergravity coupled to 1 tensor multiplet and nV vector multiplets is dual to N=(2,0),d=6 supergravity coupled to just nT=nV+1 tensor multiplets and no vector multiplets. Both…

High Energy Physics - Theory · Physics 2017-02-01 Pablo A. Cano , Tomas Ortin , Camilla Santoli

We construct supersymmetric, asymptotically AdS$_5$ gravitational soliton solutions of five-dimensional gauged supergravity coupled to arbitrarily many vector multiplets. These generalize the supersymmetric solitons of $U(1)^3$ gauged…

High Energy Physics - Theory · Physics 2022-04-14 Turkuler Durgut , Hari K. Kunduri

Eleven-dimensional supergravity has a non-relativistic variant obtained by taking a limit associated with the M2 brane. Consistency of this non-relativistic supergravity requires constraints. There is one choice of constraints which keeps…

High Energy Physics - Theory · Physics 2025-04-09 Chris D. A. Blair

We determine and analyze maximally supersymmetric configurations in four-dimensional gauged N=2 supergravity, preserving eight supercharges. These models include arbitrary electric gaugings in the vector- and hypermultiplet sectors. We…

High Energy Physics - Theory · Physics 2010-05-21 Kiril Hristov , Hugo Looyestijn , Stefan Vandoren

We present the main features of the solution of the gravitino and dilatino Killing spinor equations derived in hep-th/0510176 and hep-th/0703143 which have led to the classification of geometric types of all type I backgrounds. We then…

High Energy Physics - Theory · Physics 2008-11-26 Ulf Gran , George Papadopoulos , Diederik Roest

We give a complete classification of supersymmetric gravitational instantons in Euclidean N=2 supergravity coupled to vector multiplets. An interesting class of solutions is found which corresponds to the Euclidean analogue of stationary…

High Energy Physics - Theory · Physics 2015-06-11 J. B. Gutowski , W. A. Sabra

We construct SO(2,1) x SO(3)-invariant half-BPS solutions in six-dimensional (0,4) supergravity with m tensor multiplets. The space-time manifold of each one of these solutions consists of an AdS_2 x S^2 warped over a Riemann surface Sigma…

High Energy Physics - Theory · Physics 2015-05-28 Marco Chiodaroli , Eric D'Hoker , Yu Guo , Michael Gutperle