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Supersymmetric backgrounds in M-theory often involve four-form flux in addition to pure geometry. In such cases, the classification of supersymmetric vacua involves the notion of generalized holonomy taking values in SL(32,R), the Clifford…

High Energy Physics - Theory · Physics 2010-04-05 A. Batrachenko , James T. Liu , Oscar Varela , W. Y. Wen

We examine the behaviour of Killing spinors on AdS5 under various discrete symmetries of the spacetime. In this way we discover a number of supersymmetric orbifolds, reproducing the known ones and adding a few novel ones to the list. These…

High Energy Physics - Theory · Physics 2014-11-18 Bahniman Ghosh , Sunil Mukhi

We give the necessary and sufficient conditions for warped AdS$_3$ (and Mink$_3$) solutions of Type II supergravities to preserve ${\cal N}=(2,0)$ supersymmetry, in terms of geometric conditions on their internal space M$_7$. Such solutions…

High Energy Physics - Theory · Physics 2024-03-19 Christopher Couzens , Niall T. Macpherson , Achilleas Passias

We consider the near-horizon geometry of supersymmetric extremal black holes in un-gauaged and gauged 5-dimensional supergravity, coupled to abelian vector multiplets. By analyzing the global properties of the Killing spinors, we prove that…

High Energy Physics - Theory · Physics 2018-05-10 U. Kayani

We identify all symmetry superalgebras $\mathfrak{g}$ of near horizon geometries of black holes with a Killing horizon, assuming the solution is smooth and that the spatial cross section of the event horizon is compact without boundary.…

High Energy Physics - Theory · Physics 2017-12-22 U. Gran , J. Gutowski , G. Papadopoulos

We show that all smooth Killing horizons with compact horizon sections of 4-dimensional gauged N=2 supergravity coupled to any number of vector multiplets preserve $2 c_1({\cal K})+4 \ell$ supersymmetries, where ${\cal K}$ is a pull-back of…

High Energy Physics - Theory · Physics 2017-04-26 J. Gutowski , T. Mohaupt , G. Papadopoulos

IIA supergravity backgrounds preserving one supersymmetry locally admit four types of Killing spinors distinguished by the orbits of $Spin(9,1)$ on the space of spinors. We solve the Killing spinor equations of IIA supergravity with and…

High Energy Physics - Theory · Physics 2015-06-18 Ulf Gran , George Papadopoulos , Christian von Schultz

The near-horizon geometry of an asymptotically AdS_5 supersymmetric black hole discovered by Gutowski and Reall is analysed. After lifting the solution to 10 dimensions, we explicitly solve the Killing spinor equations in both Poincare and…

High Energy Physics - Theory · Physics 2010-10-27 Aninda Sinha , Julian Sonner , Nemani V. Suryanarayana

We examine supersymmetry of four-dimensional asymptotically anti-de Sitter (AdS) dyonic black holes in the context of gauged N=2 supergravity. Our calculations concentrate on black holes with unusual topology and their rotating…

High Energy Physics - Theory · Physics 2008-11-26 Marco M. Caldarelli , Dietmar Klemm

We discuss various aspects of rigid supersymmetry within minimal N=1 off-shell supergravity using the old and new minimal formulations both in Lorentzian and Euclidean signatures. In particular, we construct all rigid supersymmetry…

High Energy Physics - Theory · Physics 2015-06-05 James T. Liu , Leopoldo A. Pando Zayas , Dori Reichmann

We investigate the superalgebra of derivations generated by the fundamental forms on manifolds with reduced structure group. In particular, we point out a relation between the algebra of derivations of heterotic geometries that admit…

Differential Geometry · Mathematics 2025-12-01 G. Papadopoulos

We review the superspace technique to determine supersymmetric spacetimes in the framework of off-shell formulations for supergravity in diverse dimensions using the case of 3D N=2 supergravity theories as an illustrative example. This…

High Energy Physics - Theory · Physics 2015-05-01 Sergei M. Kuzenko

We study maximally supersymmetric AdS$_D$ solutions of gauged supergravities in dimensions $D \geq 4$. We show that such solutions can only exist if the gauge group after spontaneous symmetry breaking is a product of two reductive groups…

High Energy Physics - Theory · Physics 2018-04-04 Severin Lust , Philipp Ruter , Jan Louis

In the framework of AdS/CFT duality, we consider the semiclassical problem in general quadratic theory of gravity. We construct asymptotically global AdS and hyperbolic~(topological) AdS black hole solutions with non-trivial quantum hair in…

High Energy Physics - Theory · Physics 2024-12-30 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

In this paper we construct several supersymmetric theories, including SU(N) gauge theory, on AdS_5 background. We discuss the proper definition of the Killing equation for the symplectic Majorana spinors required in AdS_5 supersymmetric…

High Energy Physics - Theory · Physics 2009-10-31 Eugene Shuster

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

We continue our study of a general class of $\mathcal{N}=2$ supersymmetric $AdS_3\times Y_7$ and $AdS_2\times Y_9$ solutions of type IIB and $D=11$ supergravity, respectively. The geometry of the internal spaces is part of a general family…

High Energy Physics - Theory · Physics 2020-01-29 Jerome P. Gauntlett , Dario Martelli , James Sparks

We describe three analytic classes of infinitely many AdS_d supersymmetric solutions of massive IIA supergravity, for d = 7, 5, 4. The three classes are related by simple universal maps. For example, the AdS_7 x M_3 solutions (where M_3 is…

High Energy Physics - Theory · Physics 2015-12-22 Fabio Apruzzi , Marco Fazzi , Achilleas Passias , Andrea Rota , Alessandro Tomasiello

This review article consists of two parts. In the first part we use the formalism of (exceptional) generalized geometry to derive the scalar field space of SU(2)xSU(2)-structure compactifications. We show that in contrast to SU(3)xSU(3)…

High Energy Physics - Theory · Physics 2011-01-05 Hagen Triendl

We construct supergravity backgrounds representing non-homogeneous compactifications of d=10,11 supergravities to four dimensions, which cannot be written as a direct product. The geometries are regular and approach $AdS_7\times S^4$ or…

High Energy Physics - Theory · Physics 2009-10-31 J. G. Russo
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