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Related papers: A Positive Energy Theorem for AdS Solitons

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The stability of physical systems depends on the existence of a state of least energy. In gravity, this is guaranteed by the positive energy theorem. For topological reasons this fails for nonsupersymmetric Kaluza-Klein compactifications,…

High Energy Physics - Theory · Physics 2009-11-07 G. J. Galloway , S. Surya , E. Woolgar

This work considers positive energy theorems in asymptotically, locally AdS spacetimes. Particular attention is given to spacetimes where conformal infinity has compact, Einstein cross-sections admitting Killing or parallel spinors; a…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Virinchi Rallabhandi

For complete spin initial data sets with an asymptotically anti--de Sitter end, we introduce a charged energy--momentum defined as a linear functional arising from the Einstein--Maxwell constraints. Under a dominant energy condition adapted…

Differential Geometry · Mathematics 2026-01-21 Simon Raulot

The Positive Binding Conjecture is a proposed formulation of the Weak Gravity Conjecture appropriate to Anti de-Sitter (AdS) space. It proposes that in a consistent gravitational theory, with a $U(1)$ gauge symmetry, there must exist a…

High Energy Physics - Theory · Physics 2023-03-01 Stefano Andriolo , Marco Michel , Eran Palti

The AdS soliton is a nonsingular spacetime that has a flat conformal boundary with a compact $S^1$ direction. We find a horizonless cohomogeneity-1 metric that describes nonlinear gravitational oscillations of the AdS soliton in five…

High Energy Physics - Theory · Physics 2020-09-01 Markus Garbiso , Takaaki Ishii , Keiju Murata

We examine the AdS/CFT correspondence when the gauge theory is considered on a compactified space with supersymmetry breaking boundary conditions. We find that the corresponding supergravity solution has a negative energy, in agreement with…

High Energy Physics - Theory · Physics 2008-12-18 Gary T. Horowitz , Robert C. Myers

We consider solutions in Einstein-Maxwell theory with a negative cosmological constant that asymptote to global $AdS_{4}$ with conformal boundary $S^{2}\times\mathbb{R}_{t}$. At the sphere at infinity we turn on a space-dependent…

High Energy Physics - Theory · Physics 2016-05-25 Miguel S. Costa , Lauren Greenspan , Miguel Oliveira , João Penedones , Jorge E. Santos

We elaborate further on the static supersymmetric AdS_4 black holes found in arXiv:0911.4926, investigating thoroughly the BPS constraints for spherical symmetry in N = 2 gauged supergravity in the presence of Fayet-Iliopoulos terms. We…

High Energy Physics - Theory · Physics 2015-05-20 Kiril Hristov , Stefan Vandoren

We obtain spherically-symmetric and $\R^2$-symmetric dyonic black holes that are asymptotic to anti-de Sitter space-time (AdS), which are solutions in maximal gauged four-dimensional supergravity, with just one of the U(1) fields carrying…

High Energy Physics - Theory · Physics 2013-11-07 H. Lu , Y. Pang , C. N. Pope

Under general assumptions, we show that a gravitational theory in d+1 dimensions admitting an AdS solution can be reduced to a d-dimensional theory containing a Lifshitz solution with dynamical exponent z=2. Working in a d=4, N=2…

High Energy Physics - Theory · Physics 2011-05-18 Davide Cassani , Anton F. Faedo

We investigate an AdS2 magnetic brane solution within an abelian truncation of gauged supergravity in AdS4 x orbifolded S7. The solutions flow from AdS4 -> AdS2 x R2 with a magnetic field orthogonal to the R2 directions. We find a class of…

High Energy Physics - Theory · Physics 2011-12-22 Ahmed Almheiri

We construct large families of supergravity solutions that are asymptotic to AdS$_2$ and terminate with a cap that is singular in two dimensions but smooth in higher dimensions. These solutions break supersymmetry and conformal invariance.…

High Energy Physics - Theory · Physics 2023-08-09 Pierre Heidmann , Anthony Houppe

We find a class of (2+1)-dimensional spacetimes admitting Killing spinors appropriate to (2,0) adS-supergravity. The vacuum spacetimes include anti-de Sitter (adS) space and charged extreme black holes, but there are many others, including…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. M. Izquierdo , P. K. Townsend

We derive necessary conditions for the spinorial Witten-Nester energy to be well-defined for asymptotically locally AdS spacetimes. We find that the conformal boundary should admit a spinor satisfying certain differential conditions and in…

High Energy Physics - Theory · Physics 2009-11-11 Miranda C. N. Cheng , Kostas Skenderis

Extending the work of Park and Strominger, we prove a positive energy theorem for the exactly solvable quantum-corrected 2D dilaton gravity theories. The positive energy functional we construct is shown to be unique (within a reasonably…

High Energy Physics - Theory · Physics 2009-10-22 Adel Bilal

We investigate static, planar, solutions of Einstein-scalar gravity admitting an anti-de Sitter (AdS) vacuum. When the squared mass of the scalar field is positive and the scalar potential can be derived from a superpotential, minimum…

High Energy Physics - Theory · Physics 2013-05-30 Mariano Cadoni , Salvatore Mignemi , Matteo Serra

We consider three dimensional $N=4$ flat supergravity, with an abelian R-symmetry enhancing the gravitational phase space. We obtain the field configuration whose asymptotic symmetries at null infinity coincide with the centrally extended…

High Energy Physics - Theory · Physics 2018-01-09 Nabamita Banerjee , Ivano Lodato , Turmoli Neogi

We show that general N=2 supersymmetric AdS_4 solutions of M-theory with non-zero M2-brane charge admit a canonical contact structure. The free energy of the dual superconformal field theory on S^3 and the scaling dimensions of operators…

High Energy Physics - Theory · Physics 2015-05-28 Maxime Gabella , Dario Martelli , Achilleas Passias , James Sparks

We explore the behaviour of charged scalar solitons in asymptotically global AdS4 spacetimes. This is motivated in part by attempting to identify under what circumstances such objects can become large relative to the AdS length scale. We…

High Energy Physics - Theory · Physics 2015-06-03 Simon A. Gentle , Mukund Rangamani , Benjamin Withers

We consider unconstrained formulation of the higher spin gauge theory in anti de Sitter (AdS) spacetime, given by actions [1, 2], and provide on-shell supersymmetry transformations for the $\mathcal{N}=1$ unconstrained massless higher spin…

High Energy Physics - Theory · Physics 2022-01-05 Mojtaba Najafizadeh
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