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Related papers: Heterotic de-Sitter Solutions

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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

Consider an oriented four-dimensional Lorentzian manifold $(\widetilde{M}^{3, 1}, \widetilde{g})$ and an oriented seven-dimensional Riemannian manifold $(M^{7}, g)$. We describe a class of decomposable eleven-dimensional supergravity…

Differential Geometry · Mathematics 2019-11-25 Dmitri Alekseevsky , Ioannis Chrysikos , Arman Taghavi-Chabert

There are five maximally supersymmetric backgrounds in four-dimensional off-shell N=1 supergravity, two of which are well known: Minkowski superspace M^{4|4} and anti-de Sitter superspace AdS^{4|4}. The three remaining supermanifolds…

High Energy Physics - Theory · Physics 2016-09-21 Sergei M. Kuzenko

We discuss marginal deformations of warped AdS$_3\times$S$^2$ solutions preserving small $\mathcal{N}=(0,4)$ supersymmetry in massive IIA and eleven-dimensional supergravity and obtain a whole family of new solutions. We characterise these…

High Energy Physics - Theory · Physics 2021-02-12 Salomon Zacarias

We construct a family of supersymmetric solutions in Type IIB supergravity of the form ${\rm WAdS}_3\times {\rm WS}^3\times T^4$, where ${\rm WAdS}_3$ and ${\rm WS^3}$ denote a warped anti-de Sitter spacetime and a warped 3-sphere,…

High Energy Physics - Theory · Physics 2025-09-24 S. Maurelli , R. Noris , M. Oyarzo , H. Samtleben , M. Trigiante

We discuss the geometry of three-dimensional warped Anti-de Sitter spaces and quotients thereof, paying special attention to their underlying group manifold nature. We perform a systematic analysis of warped Anti-de Sitter geometries,…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Pierre Bieliavsky , Philippe Spindel , Raphaela Wutte

We present all the symmetry superalgebras $\mathfrak{g}$ of all warped AdS$_k\times_w M^{d-k}$, $k>2$, flux backgrounds in $d=10, 11$ dimensions preserving any number of supersymmetries. First we give the conditions for $\mathfrak{g}$ to…

High Energy Physics - Theory · Physics 2018-12-26 S. Beck , U. Gran , J. Gutowski , G. Papadopoulos

We analyse the most general supersymmetric solutions of D=11 supergravity consisting of a warped product of five-dimensional anti-de-Sitter space with a six-dimensional Riemannian space M_6, with four-form flux on M_6. We show that M_6 is…

High Energy Physics - Theory · Physics 2009-11-10 Jerome P. Gauntlett , Dario Martelli , James Sparks , Daniel Waldram

We give a systematic description of all warped $AdS_n$ and ${\mathbb{R}}^{n-1,1}$ backgrounds of M-theory and identify the a priori number of supersymmetries that these backgrounds preserve. In particular, we show that $AdS_n$ backgrounds…

High Energy Physics - Theory · Physics 2015-06-22 J. B. Gutowski , G. Papadopoulos

Solutions of D=7 maximal gauged supergravity are constructed with metrics that are a product of a n-dimensional anti-de Sitter (AdS) space, with n=2,3,4,5, and certain Einstein manifolds. The gauge fields have the same form as in the…

High Energy Physics - Theory · Physics 2009-11-07 Jerome P. Gauntlett , Nakwoo Kim , Stathis Pakis , Daniel Waldram

We consider warped $\mathrm{AdS}_2\times \mathcal M_4$ backgrounds within $F(4)$ gauged supergravity in six dimensions. In particular, we are able to find supersymmetric solutions of the aforementioned type characterized by…

High Energy Physics - Theory · Physics 2019-06-26 Giuseppe Dibitetto , Nicolò Petri

Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both…

High Energy Physics - Theory · Physics 2010-02-23 Dionysios Anninos

We classify supersymmetric warped AdS$_3 \times_w M_7$ backgrounds of Type IIA and Type IIB supergravity with non-constant dilaton, generic RR fluxes and magnetic NSNS flux, in terms of a dynamic $SU(3)$-structure on $M_7$. We illustrate…

High Energy Physics - Theory · Physics 2021-09-24 Achilleas Passias , Daniël Prins

We simplify the classification of supersymmetric solutions with compact holonomy of the Killing spinor equations of heterotic supergravity using the field equations and the additional assumption that the 3-form flux is closed. We determine…

High Energy Physics - Theory · Physics 2010-05-07 George Papadopoulos

We present decomposable (5,6)-solutions $\widetilde{M}^{1,4} \times M^6$ in eleven-dimensional supergravity by solving the bosonic supergravity equations for a variety of non-trivial flux forms. Many of the bosonic backgrounds presented…

Differential Geometry · Mathematics 2023-12-27 Hanci Chi , Ioannis Chrysikos , Eivind Schneider

We identify the fractions of supersymmetry preserved by the most general warped flux AdS and flat backgrounds in both massive and standard IIA supergravities. We find that $AdS_n\times_w M^{10-n}$ preserve $2^{[{n\over2}]} k$ for $n\leq 4$…

High Energy Physics - Theory · Physics 2015-10-28 S. Beck , J. B. Gutowski , G. Papadopoulos

We comment on the ubiquity of the so-called warped anti-de Sitter spacetimes in three-dimensional (2,0) supergravity theory. By using isometry-invariant tensors and simple counting, we prove their existence for arbitrary $(2,0)$…

High Energy Physics - Theory · Physics 2016-03-01 George Moutsopoulos

We obtain a general class of time-dependent, asymptotically de Sitter backgrounds which solve the first order bosonic equations that extremize the action for supergravity with gauged non-compact $R$-symmetry. These backgrounds correspond…

High Energy Physics - Theory · Physics 2009-09-17 Klaus Behrndt , Mirjam Cvetic

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

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
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