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We derive a complete geometrical characterisation of a large class of $AdS_3$, $AdS_4$ and $AdS_5$ supersymmetric spacetimes in eleven-dimensional supergravity using G-structures. These are obtained as special cases of a class of…

High Energy Physics - Theory · Physics 2009-11-11 Jerome P. Gauntlett , Oisin A. P. Mac Conamhna , Toni Mateos , Daniel Waldram

In this note we revisit the Lin, Lunin, Maldacena (LLM) class of d=11 supergravity solutions with symmetry SO(6) X SO(3) X R, but generalise to allow for all fluxes consistent with the isometries. Using the Killing spinor equation, we prove…

High Energy Physics - Theory · Physics 2011-04-18 Eoin Ó Colgáin , Jun-Bao Wu , Hossein Yavartanoo

We analyze supersymmetric solutions of M-theory based an a seven-dimensional internal space with SU(3) structure and a four-dimensional maximally symmetric space. The most general supersymmetry conditions are derived and we show that a…

High Energy Physics - Theory · Physics 2009-11-10 Andre Lukas , P. M. Saffin

We analyze the AdS_3 x M_7 type supersymmetric solutions, including non-trivial fluxes, of the Killing spinor equations in the heterotic supergravity. We classify these solutions by their G-structures and intrinsic torsions, for the cases…

High Energy Physics - Theory · Physics 2010-01-07 Hiroshi Kunitomo , Mitsuhisa Ohta

We give a general framework for constructing supersymmetric solutions in the presence of non-trivial fluxes of tensor gauge fields. This technique involves making a general Ansatz for the metric and then defining the Killing spinors in…

High Energy Physics - Theory · Physics 2007-05-23 Chethan N. Gowdigere , Dennis Nemeschansky , Nicholas P. Warner

We study $\mathcal{N}=1$ supersymmetric AdS$_3 \times M_7$ backgrounds of Type IIB supergravity, with non-vanishing axio-dilaton, three-form and five-form fluxes, and a "strict" $SU(3)$-structure on $M_7$. We derive the necessary and…

High Energy Physics - Theory · Physics 2020-06-24 Achilleas Passias , Daniël Prins

We study N <= 2 superconformal and supersymmetric theories on Lorentzian threemanifolds with a view toward holographic applications, in particular to BPS black hole solutions. As in the Euclidean case, preserved supersymmetry for…

High Energy Physics - Theory · Physics 2015-06-15 Kiril Hristov , Alessandro Tomasiello , Alberto Zaffaroni

We reduce the classification of all supersymmetric backgrounds in eleven dimensions to the evaluation of the supercovariant derivative and of an integrability condition, which contains the field equations, on six types of spinors. We…

High Energy Physics - Theory · Physics 2009-10-09 U. Gran , G. Papadopoulos , D. Roest

We construct new families of supersymmetric AdS$_3$ solutions in both massive and massless Type IIA supergravity via deformations to known backgrounds preserving $\mathcal{N} = (4,0)$ and $\mathcal{N} = (6,0)$ supersymmetry. These…

High Energy Physics - Theory · Physics 2025-04-16 Anayeli Ramirez , Salomon Zacarias

We classify the geometries of the most general warped, flux AdS backgrounds of heterotic supergravity up to two loop order in sigma model perturbation theory. We show under some mild assumptions that there are no $AdS_n$ backgrounds with…

High Energy Physics - Theory · Physics 2015-09-02 S. W. Beck , J. B. Gutowski , G. Papadopoulos

We consider warp compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes and investigate the constraints imposed by supersymmetry. As long as the 7-manifold supports only one Killing spinor we infer from the Killing…

High Energy Physics - Theory · Physics 2010-02-03 Klaus Behrndt , Claus Jeschek

M-theory is known to possess supersymmetric solutions where the geometry is $\mathrm{AdS}_3\times S^3\times S^3$ warped over a Riemann surface $\Sigma_{2}$. The simplest examples in this class can be engineered by placing M2 and M5 branes…

High Energy Physics - Theory · Physics 2021-02-24 Giuseppe Dibitetto , Nicolò Petri

In M-theory, the only AdS_7 supersymmetric solutions are AdS_7 x S^4 and its orbifolds. In this paper, we find and classify new supersymmetric solutions of the type AdS_7 x M_3 in type II supergravity. While in IIB none exist, in IIA with…

High Energy Physics - Theory · Physics 2015-06-17 Fabio Apruzzi , Marco Fazzi , Dario Rosa , Alessandro Tomasiello

The seven and nine dimensional geometries associated with certain classes of supersymmetric $AdS_3$ and $AdS_2$ solutions of type IIB and D=11 supergravity, respectively, have many similarities with Sasaki-Einstein geometry. We further…

High Energy Physics - Theory · Physics 2008-11-26 Jerome P. Gauntlett , Nakwoo Kim

We study superconformal and supersymmetric theories on Euclidean four- and three-manifolds with a view toward holographic applications. Preserved supersymmetry for asymptotically locally AdS solutions implies the existence of a (charged)…

High Energy Physics - Theory · Physics 2015-06-05 Claudius Klare , Alessandro Tomasiello , Alberto Zaffaroni

In the context of holography, we analyse aspects of supersymmetric geometries based on two-dimensional orbifolds known as spindles. By analysing spin$^c$ spinors on a spindle with an azimuthal rotation symmetry we show that under rather…

High Energy Physics - Theory · Physics 2022-02-09 Pietro Ferrero , Jerome P. Gauntlett , James Sparks

We analyse the most general N=2 supersymmetric solutions of D=11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold Y_7. We show that the necessary and…

High Energy Physics - Theory · Physics 2015-06-05 Maxime Gabella , Dario Martelli , Achilleas Passias , James Sparks

We use the techniques of "algebraic Killing spinors" to obtain a family of holographic flow solutions with four supersymmetries in M-theory. The family of supersymmetric backgrounds constructed here includes the non-trivial flow to the…

High Energy Physics - Theory · Physics 2007-05-23 Dennis Nemeschansky , Nicholas P. Warner

A new class is introduced of M2-branes solutions of d=11 supergravity that include internal fluxes obeying Englert equation in 7-dimensions. A simple criterion for the existence of Killing spinors in such backgrounds is established. Englert…

High Energy Physics - Theory · Physics 2016-11-03 Pietro Fre

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
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