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Related papers: Supersymmetric AdS_3 solutions in Heterotic Superg…

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The complete eleven-dimensional supergravity solutions with 16 supersymmetries on manifolds of the form $AdS_3 \times S^3 \times S^3 \times \Sigma$, with isometry $SO(2,2) \times SO(4) \times SO(4)$, and with either $AdS_4 \times S^7$ or…

High Energy Physics - Theory · Physics 2014-11-18 Eric D'Hoker , John Estes , Michael Gutperle , Darya Krym

Minimal massive supergravity is the supersymmetric extension of minimal massive gravity in three dimensions. The theory admits a supersymmetric anti-de Sitter vacuum around which the propagating modes of spin 2 and 3/2 combine into a…

High Energy Physics - Theory · Physics 2025-01-16 Nihat Sadik Deger , Jan Rosseel , Henning Samtleben

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 construct $AdS_3\times Y_7$ solutions of type IIB supergravity, where $Y_7$ is a smooth $S^5$ bundle over a spindle $\Sigma(n_N,n_S)$, which are dual to $\mathcal{N}=(0,2)$ SCFTs in $d=2$. The solutions are constructed using the $D=5$…

High Energy Physics - Theory · Physics 2026-05-21 Igal Arav , Jerome P. Gauntlett , Matthew M. Roberts , Christopher Rosen

Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS compactifications on almost-Hermitian manifolds of SU(3)…

High Energy Physics - Theory · Physics 2010-12-03 Andrew R. Frey , Matthew Lippert

The usual supermembrane solution of $D=11$ supergravity interpolates between $R^{11}$ and $AdS_4 \times round~S^7$, has symmetry $P_3 \times SO(8)$ and preserves $1/2$ of the spacetime supersymmetries for either orientation of the round…

High Energy Physics - Theory · Physics 2009-10-07 M. J. Duff , H. Lu , C. N. Pope , E. Sezgin

We study the spinorial Killing equation of supergravity involving a torsion 3-form $\T$ as well as a flux 4-form $\F$. In dimension seven, we construct explicit families of compact solutions out of 3-Sasakian geometries, nearly parallel…

Differential Geometry · Mathematics 2014-07-21 Ilka Agricola , Thomas Friedrich

Warped AdS$_3$ solutions in 10 dimensional supergravity that preserve ${\cal N}=(1,1)$ supersymmetry are considered. Sufficient geometric conditions for their existence, and to stop the AdS$_3$ factor experiencing an enhancement to AdS$_4$,…

High Energy Physics - Theory · Physics 2022-04-13 Niall T. Macpherson , Alessandro Tomasiello

We compute the scalar curvature of 7-dimensional ${G}_2$-manifolds admitting a connection with totally skew-symmetric torsion. We prove the formula for the general solution of the Killing spinor equation and express the Riemannian scalar…

Differential Geometry · Mathematics 2015-06-26 Thomas Friedrich , Stefan Ivanov

We study the global geometry of a general class of spacetimes of relevance to the supersymmetric $AdS_3/CFT_2$ correspondence in eleven-dimensional supergravity. Specifically, we study spacetimes admitting a globally-defined…

High Energy Physics - Theory · Physics 2008-11-26 Pau Figueras , Oisin A. P. Mac Conamhna , Eoin O Colgain

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 consider the most general solutions of eleven-dimensional supergravity preserving $N=2$ supersymmetry whose metrics are warped products of three-dimensional anti-de Sitter space with an eight-dimensional manifold, focusing on those…

High Energy Physics - Theory · Physics 2023-05-17 Anthony Ashmore

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 consider supersymmetric near-horizon geometries in heterotic supergravity up to two loop order in sigma model perturbation theory. We identify the conditions for the horizons to admit enhancement of supersymmetry. We show that solutions…

High Energy Physics - Theory · Physics 2019-12-20 A. Fontanella , J. B. Gutowski , G. Papadopoulos

We construct necessary and sufficient geometric conditions for a class of AdS$_2$ solutions of M-theory with, at least, minimal supersymmetry to exist. We generalize previous results in the literature for ${\cal N}=(2,0)$ supersymmetry in…

High Energy Physics - Theory · Physics 2020-01-08 Junho Hong , Niall T. Macpherson , Leopoldo A. Pando Zayas

We first classify all supersymmetric solutions of the 3-dimensional half-maximal ungauged supergravity that possess a timelike Killing vector coming from the Killing spinor bilinear by considering their identification under the…

High Energy Physics - Theory · Physics 2015-07-09 Nihat Sadik Deger , George Moutsopoulos , Henning Samtleben , Ozgur Sarioglu

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 study the N=1 supersymmetric solutions of D=11 supergravity obtained as a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold M. Using the octonion bundle structure on M we reformulate the…

High Energy Physics - Theory · Physics 2018-04-03 Sergey Grigorian

We derive necessary and sufficient conditions for warped AdS$_2$ solutions of Type II supergravity to preserve ${\cal N}=1$ supersymmetry, in terms of bispinors. Such solutions generically support an SU$(3)$-structure on their internal…

High Energy Physics - Theory · Physics 2024-06-11 Andrea Legramandi , Niall T. Macpherson , Achilleas Passias

We consider pure D3-brane configurations of IIB string theory which lead to supersymmetric solutions containing an AdS$_3$ factor. They can provide new examples of AdS$_3$/CFT$_2$ examples on D3-branes whose worldvolume is partially…

High Energy Physics - Theory · Physics 2009-11-11 Nakwoo Kim