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We classify the necessary and sufficient conditions to obtain the near-horizon geometry of extremal supersymmetric rotating black holes embedded in 11d supergravity. Such rotating black holes admit an AdS$_2$ near-horizon geometry which is…

High Energy Physics - Theory · Physics 2023-01-11 Christopher Couzens , Eric Marcus , Koen Stemerdink , Damian van de Heisteeg

The aim of this paper is to make progress in the understanding of the Scherk-Schwarz dimensional reduction in terms of a compactification in the presence of background fluxes and torsion. From the eleven dimensional supergravity point of…

High Energy Physics - Theory · Physics 2010-02-03 L. Andrianopoli , M. A. Lledo' , M. Trigiante

The Kaluza-Klein spectrum of N=2, D=4 supergravity compactified on AdS_2 x S^2 is found and shown to consist of two infinite towers of SU(1,1|2) representations. In addition to `pure gauge' modes living on the boundary of AdS which are…

High Energy Physics - Theory · Physics 2010-02-03 Jeremy Michelson , Marcus Spradlin

The consistency of the embedding of four-dimensional SO(8) gauged N=8 supergravity into eleven-dimensional supergravity, where the internal directions are compactified on a seven-sphere, was established by de Wit and Nicolai in the 1980s.…

High Energy Physics - Theory · Physics 2016-09-21 Arash Azizi , Hadi Godazgar , Mahdi Godazgar , C. N. Pope

The maximally supersymmetric Freund-Rubin vacua for eleven dimensional supergravity, namely $AdS_4 \times S^7$ and $AdS_7 \times S^4$, admit an analytic continuation to $S^4 \times S^7$. From the full harmonic expansions on $S^4 \times…

High Energy Physics - Theory · Physics 2020-03-04 Ergin Sezgin

We study $\mathcal{N}=2$ theories on four-dimensional manifolds that admit a Killing vector $v$ with isolated fixed points. It is possible to deform these theories by coupling position-dependent background fields to the flavor current…

High Energy Physics - Theory · Physics 2022-09-21 Usman Naseer , Charles Thull

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold SO(4,n)/SO(4)\times…

High Energy Physics - Theory · Physics 2015-06-25 Riccardo D'Auria , Sergio Ferrara , Silvia Vaulà

We show that the isometries of the manifold of scalars in $N=2$ supergravity in $d=5$ space-time dimensions can be broken by the supergravity interactions. The opposite conclusion holds for the dimensionally reduced $d=4$ theories, where…

High Energy Physics - Theory · Physics 2009-10-22 Bernard de Wit , Antoine Van Proeyen

The Rarita-Schwinger operator is the twisted Dirac operator restricted to 3/2-spinors. Rarita-Schwinger fields are solutions of this operator which are in addition divergence-free. This is an overdetermined problem and solutions are rare;…

Differential Geometry · Mathematics 2021-05-24 Christian Baer , Rafe Mazzeo

This paper presents a series of constructions providing eleven-dimensional bosonic supergravity backgrounds. In particular, we treat Lorentzian manifolds given in terms of twisted products of six-dimensional Lorentzian manifolds and…

Differential Geometry · Mathematics 2020-09-15 Ioannis Chrysikos , Anton Galaev

The squashed 7-sphere $S^{7}$ is a 7-sphere with an Einstein metric given by the canonical variation and its cone $\mathbb{R}^{8} - \{ 0 \}$ has full holonomy ${\rm Spin}(7)$. There is a canonical calibrating 4-form $\Phi$ on…

Differential Geometry · Mathematics 2018-05-17 Kotaro Kawai

We apply exceptional generalised geometry to the study of exactly marginal deformations of $\mathcal{N}=1$ SCFTs that are dual to generic AdS$_5$ flux backgrounds in type IIB or eleven-dimensional supergravity. In the gauge theory, marginal…

High Energy Physics - Theory · Physics 2017-02-23 Anthony Ashmore , Maxime Gabella , Mariana Graña , Michela Petrini , Daniel Waldram

We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it…

High Energy Physics - Theory · Physics 2012-11-22 Laurent Baulieu , Marc Bellon , Valentin Reys

In the context of N=2 supergravity we explain the occurrence of partial super-Higgs with vanishing vacuum energy and moduli stabilization in a model suggested by superstring compactifications on type IIB orientifolds with 3-form fluxes. The…

High Energy Physics - Theory · Physics 2014-11-18 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo'

We consider mass-deformed theories with ${\cal N}\geq2$ supersymmetry on round and squashed three-spheres. By embedding the supersymmetric backgrounds in extended supergravity we show that at special values of mass deformations the…

High Energy Physics - Theory · Physics 2022-01-19 Joseph Minahan , Usman Naseer , Charles Thull

We show how supersymmetry conditions for flux compactifications of supergravity and string theory can be described in terms of a flat subalgebra of the Kahler-Atiyah algebra of the compactification space, a description which has…

High Energy Physics - Theory · Physics 2013-10-15 Calin Iuliu Lazaroiu , Elena-Mirela Babalic

We consider giant gravitons in the maximally supersymmetric type IIB plane-wave, in the presence of a constant NSNS B-field background. We show that in response to the background B-field the giant graviton would take the shape of a deformed…

High Energy Physics - Theory · Physics 2009-11-10 Sergey Prokushkin , Mohammad M. Sheikh-Jabbari

We construct a consistent reduction of type IIA supergravity on S^3, leading to a maximal gauged supergravity in seven dimensions with the full set of massless SO(4) Yang-Mills fields. We do this by starting with the known S^4 reduction of…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , H. Lu , C. N. Pope , A. Sadrzadeh , T. A. Tran

We construct and analyse holographic duals to a class of four-dimensional N = 1 SU($N_c$) SQCD-like theories compactified on a circle with an R-symmetry twist. The setup originates from type IIB backgrounds previously proposed as duals to…

High Energy Physics - Theory · Physics 2025-08-28 Niall T. Macpherson , Paul Merrikin , Carlos Nunez , Ricardo Stuardo

We illustrate the correspondence between the N=1 superstring compactifications with fluxes, the N=4 gauged supergravities and the superpotential and K\"ahler potential of the effective N=1 supergravity in four dimensions. In particular we…

High Energy Physics - Theory · Physics 2010-12-03 J. -P. Derendinger , C. Kounnas , P. M. Petropoulos , F. Zwirner
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