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In this work we deal with an elliptic non-linear problem, which arises naturally from Riemannian geometry. This problem has clasically been studied in the the Euclidean $n$-dimensional space and it is known as the Moser-Bernstein problem.…

Differential Geometry · Mathematics 2024-02-08 Alma L. Albujer , Jónatan Herrera , Rafael M. Rubio

We generate new AdS_4 solutions of D=11 supergravity starting from AdS_4 x X_7 solutions where X_7 has U(1)^3 isometry. We consider examples where X_7 is weak G_2, Sasaki-Einstein or tri-Sasakian, corresponding to d=3 SCFTs with N=1,2 or 3…

High Energy Physics - Theory · Physics 2009-11-11 Jerome P. Gauntlett , Sangmin Lee , Toni Mateos , Daniel Waldram

Motivated by the search for new gravity duals to M2 branes with $N>4$ supersymmetry --- equivalently, M-theory backgrounds with Killing superalgebra $\mathfrak{osp}(N|4)$ for $N>4$ --- we classify homogeneous M-theory backgrounds with…

High Energy Physics - Theory · Physics 2017-06-13 José Figueroa-O'Farrill , Mara Ungureanu

We perform a systematic search for static solutions in different sectors of 5d $N=8$ supergravities with compact and non-compact gauged R-symmetry groups, finding new and listing already known backgrounds. Due to the variety of possible…

High Energy Physics - Theory · Physics 2015-06-18 Kiril Hristov , Andrea Rota

Pseudo-supersymmetric solutions of minimal $N=2$, $D=4$ de Sitter supergravity are classified using spinorial geometry techniques. We find three classes of solutions. The first class of solution consists of geometries which are fibrations…

High Energy Physics - Theory · Physics 2018-01-24 J. B. Gutowski , W. A. Sabra

We study supersymmetric AdS$_D$ backgrounds of eleven-dimensional or type II supergravity preserving $\mathcal{N}$ supersymmetries using generalised geometry. We show that a large class correspond precisely to spaces admitting a generalised…

High Energy Physics - Theory · Physics 2017-10-12 André Coimbra , Charles Strickland-Constable

We study supersymmetric solutions in 7- and 8-dimensional Abelian heterotic supergravity theories. In dimension 7, the solutions are described by $G_{2}$ with torsion equations. When a $G_{2}$ manifold has principal orbits $S^{3} \times…

High Energy Physics - Theory · Physics 2014-10-29 Kazuki Hinoue , Yukinori Yasui

We investigate four-dimensional Heterotic solitons, defined as a particular class of solutions of the equations of motion of Heterotic supergravity on a four-manifold $M$. Heterotic solitons depend on a parameter $\kappa$ and consist of a…

Differential Geometry · Mathematics 2024-12-25 Andrei Moroianu , Ángel Murcia , C. S. Shahbazi

We construct different neutral blackfold solutions in Anti-de Sitter and de Sitter background spacetimes in the limit where the cosmological scale is taken to be much larger than the transverse horizon size. This includes a class of…

High Energy Physics - Theory · Physics 2014-12-23 Jay Armas , Niels A. Obers

We generate new 11-dimensional supergravity solutions from deformations based on U(1)^3 symmetries. The initial geometries are of the form AdS_4 x Y_7, where Y_7 is a 7-dimensional Sasaki-Einstein space. We consider a general family of…

High Energy Physics - Theory · Physics 2009-11-11 Changhyun Ahn , Justin F. Vazquez-Poritz

We find a family of AdS$_2\times \mathcal{M}_4$ supersymmetric solutions of the six-dimensional $\mathrm{F}(4)$ gauged supergravity coupled to one vector multiplet that arises as a low energy description of massive type IIA supergravity on…

High Energy Physics - Theory · Physics 2018-12-18 Seyed Morteza Hosseini , Kiril Hristov , Achilleas Passias , Alberto Zaffaroni

Heterotic backgrounds with torsion preserving minimal supersymmetry in four dimensions can be obtained as orbifolds of principal $T^{2}$ bundles over $K3$. We consider a worldsheet description of these backgrounds as gauged linear…

High Energy Physics - Theory · Physics 2023-07-26 Dan Israel , Yann Proto

We classify all N=2 rigid supersymmetric backgrounds in four dimensions with both Lorentzian and Euclidean signature that preserve eight real supercharges, up to discrete identifications. Among the backgrounds we find specific warpings of…

High Energy Physics - Theory · Physics 2015-10-28 Daniel Butter , Gianluca Inverso , Ivano Lodato

The partial breaking of supersymmetry in anti-de Sitter (AdS) space can be accomplished using two of four dual representations for the massive OSp(1,4) spin-3/2 multiplet. The representations can be ``unHiggsed,'' which gives rise to a set…

High Energy Physics - Theory · Physics 2009-10-31 Richard Altendorfer , Jonathan Bagger

In this article the degenerate warped products of singular semi-Riemannian manifolds are studied. They were used recently by the author to handle singularities occurring in General Relativity, in black holes and at the big-bang. One main…

Differential Geometry · Mathematics 2017-01-31 Ovidiu Cristinel Stoica

We construct infinite new classes of supersymmetric solutions of D=11 supergravity that are warped products of AdS_3 with an eight-dimensional manifold M_8 and have non-vanishing four-form flux. In order to be compact, M_8 is constructed as…

High Energy Physics - Theory · Physics 2008-11-26 Jerome P. Gauntlett , Oisin A. P. Mac Conamhna , Toni Mateos , Daniel Waldram

We consider new cosmological solutions which generalize the cosmological patch of the Anti-de Sitter (AdS) space-time, allowing for fluids with equations of state such that $w\neq -1$. We use them to derive the associated full manifolds. We…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Joao Magueijo , Ali Mozaffari

In this thesis we study maximally supersymmetric solutions of gauged supergravity theories, with special focus on anti-de Sitter solutions. The latter are relevant in the context of the AdS/CFT correspondence. In the first part we classify…

High Energy Physics - Theory · Physics 2017-12-29 Severin Lust

We study top-down embeddings of massive Anti-de Sitter (AdS) gravity in type-IIB string theory. The supergravity solutions have a AdS$_4$ fiber warped over a manifold M$_6$ whose shape resembles that of scottish bagpipes: The `bag' is a…

High Energy Physics - Theory · Physics 2018-11-14 Constantin Bachas , Ioannis Lavdas

We dimensionally reduce the ten dimensional heterotic action on spacetimes of the form ${\cal M}_{(2,1)}\times Y$, where ${\cal M}_{(2,1)}$ is three dimensional maximally symmetric Anti de Sitter or Minkowski space, and $Y$ is a compact…

High Energy Physics - Theory · Physics 2020-02-28 Xenia de la Ossa , Magdalena Larfors , Matthew Magill , Eirik E. Svanes