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The fake supergravity method is applied to 5-dimensional asymptotically AdS spacetimes containing gravity coupled to a real scalar and an abelian gauge field. The motivation is to obtain bulk solutions with R x S^3 symmetry in order to…

High Energy Physics - Theory · Physics 2009-10-08 Henriette Elvang , Daniel Z. Freedman , Hong Liu

We study all possible deformations of the Maxwell algebra. In D=d+1\neq 3 dimensions there is only one-parameter deformation. The deformed algebra is isomorphic to so(d+1,1)\oplus so(d,1) or to so(d,2)\oplus so(d,1) depending on the signs…

High Energy Physics - Theory · Physics 2009-09-24 Joaquim Gomis , Kiyoshi Kamimura , Jerzy Lukierski

Starting from vector fields that preserve a differential form on a Riemann sphere with Grassmann variables, one can construct a Superconformal Algebra by considering central extensions of the algebra of vector fields. In this note, the N=4…

High Energy Physics - Theory · Physics 2009-11-10 Jasbir Nagi

We present a gauge formulation of the special affine algebra extended to include an antisymmetric tensorial generator belonging to the tensor representation of the special linear group. We then obtain a Maxwell modified metric affine…

High Energy Physics - Theory · Physics 2021-10-27 Oktay Cebecioğlu , Salih Kibaroğlu

We study which geometric structure can be constructed from the vierbein (frame/coframe) variables and which field models can be related to this geometry. The coframe field models, alternative to GR, are known as viable models for gravity,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yakov Itin

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

Following arguments that the (hidden) M-algebra serves as the maximal super-exceptional tangent space for 11D supergravity, we make explicit here its integration to a (super-Lie) group. This is equipped with a left-invariant extension of…

High Energy Physics - Theory · Physics 2026-01-12 Grigorios Giotopoulos , Hisham Sati , Urs Schreiber

Exploring the four-dimensional AdS black hole is crucial within the framework of the AdS/CFT correspondence. In this research, considering the charged scenario, we investigate the four-dimensional stationary and rotating AdS solutions in…

General Relativity and Quantum Cosmology · Physics 2025-01-17 G. G. L. Nashed

Four-dimensional (4D) flat Minkowski space admits a foliation by hyperbolic slices. Euclidean AdS3 slices fill the past and future lightcones of the origin, while dS3 slices fill the region outside the lightcone. The resulting link between…

High Energy Physics - Theory · Physics 2019-10-02 Adam Ball , Elizabeth Himwich , Sruthi A. Narayanan , Sabrina Pasterski , Andrew Strominger

We perform a consistent reduction of 6d matter-coupled F(4) supergravity on a compact Riemann surface $\Sigma_\mathfrak{g}$ of genus $\mathfrak{g}$, at the level of the bosonic action. The result is an $\mathcal{N}=2$ gauged supergravity…

High Energy Physics - Theory · Physics 2021-11-05 Seyed Morteza Hosseini , Kiril Hristov

We develop in detail the holographic framework for an $\mathcal{N}=2$ pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in…

High Energy Physics - Theory · Physics 2021-02-23 L. Andrianopoli , B. L. Cerchiai , R. Matrecano , O. Miskovic , R. Noris , R. Olea , L. Ravera , M. Trigiante

The AdS/CFT correspondence, or more generally the gauge/gravity duality, is a remarkable conjecture obtained from superstring theory with various D-brane backgrounds. According to this conjecture, a higher-dimensional curved space-time…

High Energy Physics - Lattice · Physics 2012-06-01 Jun Nishimura

We present a novel three-dimensional non-relativistic Chern-Simons supergravity theory invariant under a Maxwellian extended Bargmann superalgebra. We first study the non-relativistic limits of the minimal and the $\mathcal{N}=2$ Maxwell…

High Energy Physics - Theory · Physics 2020-04-14 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

We take advantage of the superspace formalism and explicitly find the N=2 supersymmetric extension of the Maxwell Chern-Simons model. In our construction a special form of a potential term and indispensability of an additional neutral…

High Energy Physics - Theory · Physics 2010-02-04 Bogdan Damski

We study the spectrum generating closed nonlinear superconformal algebra that describes $\mathcal{N}=2$ super-extensions of rationally deformed quantum harmonic oscillator and conformal mechanics models with coupling constant $g=m(m+1)$,…

High Energy Physics - Theory · Physics 2019-01-07 Luis Inzunza , Mikhail S. Plyushchay

We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions $D$, with a particular emphasis on the case $D=5$. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the…

High Energy Physics - Theory · Physics 2022-08-10 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

We construct the ${\cal N}=1$ supersymmetric extension of Double Field Theory for Riemannian and the non-Riemannian in a unified approach. The inclusion of fermions in the double geometry force us to use the generalized frame formalism to…

High Energy Physics - Theory · Physics 2022-12-29 Eric Lescano

In the $N=1$ superspace, AdS$_4$ supersymmetry is realized as the non-linear super coordinate transformations. The fermionic coordinates form a faithful non-linear representation of supersymmetry on their own. By introducing an auxiliary…

High Energy Physics - Theory · Physics 2025-03-25 Chen-Xu Han , Zhao-Long Wang , Yi Yan

In this paper, we present novel non-relativistic superalgebras which correspond to supersymmetric extensions of the enlarged extended Bargmann algebra. The three-dimensional non-relativistic Chern-Simons supergravity actions invariant under…

High Energy Physics - Theory · Physics 2021-02-23 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

The classical Minkowski formula is extended to spacelike codimension-two submanifolds in spacetimes which admit "hidden symmetry" from conformal Killing-Yano two-forms. As an application, we obtain an Alexandrov type theorem for spacelike…

Differential Geometry · Mathematics 2016-07-05 Mu-Tao Wang , Ye-Kai Wang , Xiangwen Zhang