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Related papers: Equivariant localization for $D=5$ gauged supergra…

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We consider supersymmetric solutions of $D=4$, $\mathcal{N}=2$ Euclidean gauged supergravity coupled to an arbitrary number of vector multiplets. Such solutions admit an R-symmetry Killing vector, $\xi$, constructed as a bilinear in the…

High Energy Physics - Theory · Physics 2025-09-01 Pietro Benetti Genolini , Jerome P. Gauntlett , Yusheng Jiao , Alice Lüscher , James Sparks

We present a systematic classification of half-supersymmetric solutions of gauged N=2, D=5 supergravity coupled to an arbitrary number of abelian vector multiplets for which at least one of the Killing spinors generate a time-like Killing…

High Energy Physics - Theory · Physics 2014-11-18 Jan B. Gutowski , Wafic A. Sabra

We discuss a localization formula for certain integrals on odd-dimensional manifolds with boundaries, equipped with a Killing vector, and employ this to localize the regularised on-shell action of a large class of supersymmetric solutions…

High Energy Physics - Theory · Physics 2026-01-27 Edoardo Colombo , Vasil Dimitrov , Dario Martelli , Alberto Zaffaroni

We classify half-supersymmetric solutions of gauged N=2, D=5 supergravity coupled to an arbitrary number of abelian vector multiplets for which all of the Killing spinors generate null Killing vectors. We show that there are four classes of…

High Energy Physics - Theory · Physics 2009-11-13 Jai Grover , Jan B. Gutowski , Wafic Sabra

We derive a general formula for the on-shell action of six-dimensional Euclidean Romans supergravity using equivariant localization. Our results are obtained without the need for solving any of the equations of motion, instead working on…

High Energy Physics - Theory · Physics 2025-11-06 Christopher Couzens , Carolina Matte Gregory , Davide Muniz , Tabea Sieper , James Sparks

Following the work of [1], we consider six- and seven-dimensional gauged supergravity coupled to a vector multiplet on an ansatz of $AdS_{4,5}\times{M}_2$, respectively, where $M_2$ is a two-dimensional surface with a Killing vector. We…

High Energy Physics - Theory · Physics 2024-04-03 Minwoo Suh

We investigate equivariant localization of the gravitational on-shell action in odd dimensions, focusing on five-dimensional ungauged supergravity. We analyze the conditions for cancellation of boundary terms, so that the full action…

High Energy Physics - Theory · Physics 2024-10-04 Davide Cassani , Alejandro Ruipérez , Enrico Turetta

The classification of 1/4-supersymmetric solutions of five dimensional gauged supergravity coupled to arbitrary many abelian vector multiplets, which was initiated in hep-th/0401129, is completed. The structure of all solutions for which…

High Energy Physics - Theory · Physics 2009-11-11 Jan B. Gutowski , Wafic Sabra

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

We deepen and refine the classification of supersymmetric solutions to N=2, D=4 gauged supergravity obtained in a previous paper. In the case where the Killing vector constructed from the Killing spinor is timelike, it is shown that the…

High Energy Physics - Theory · Physics 2009-11-10 Sergio L. Cacciatori , Marco M. Caldarelli , Dietmar Klemm , Diego S. Mansi

We initiate a systematic study of the solutions of three-dimensional matter-coupled half-maximal (N=8) supergravities which admit a Killing spinor. To this end we analyze in detail the invariant tensors built from spinor bilinears, a…

High Energy Physics - Theory · Physics 2011-02-07 Nihat Sadik Deger , Henning Samtleben , Ozgur Sarioglu

Spinorial geometry techniques have recently been used to classify all half supersymmetric solutions in gauged five dimensional supergravity with vector multiplets. In this paper we consider solutions for which at least one of the Killing…

High Energy Physics - Theory · Physics 2010-01-06 Jan B. Gutowski , Wafic 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 show how equivariant localization can be used to compute the on-shell action for supersymmetric $D=5$ $AdS$ rotating, charged black holes in theories of supergravity with higher derivatives. An exact match with a dual field theory…

High Energy Physics - Theory · Physics 2026-04-13 Florian Gaar , Jerome P. Gauntlett , Jaeha Park , James Sparks

In this paper, using equivariant localization for foliations, we compute the on-shell action of a general class of supersymmetric solutions of five-dimensional gauged supergravity with vector multiplets. Unlike previous literature, we also…

High Energy Physics - Theory · Physics 2025-11-19 Edoardo Colombo , Vasil Dimitrov , Dario Martelli , Alberto Zaffaroni

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

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 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

We study the general requirement for supersymmetric AdS$_6$ solutions in type IIB supergravity. We employ the Killing spinor technique and study the differential and algebraic relations among various Killing spinor bilinears to find the…

High Energy Physics - Theory · Physics 2020-07-20 Hyojoong Kim , Nakwoo Kim , Minwoo Suh

We propose a way to classify all supersymmetric configurations of D=11 supergravity using the G-structures defined by the Killing spinors. We show that the most general bosonic geometries admitting a Killing spinor have at least a local…

High Energy Physics - Theory · Physics 2009-11-07 Jerome P. Gauntlett , Stathis Pakis
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