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Related papers: Evanescent ergosurfaces and ambipolar hyperk\"ahle…

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This article concerns a natural generalization of the classical asymptotic Plateau problem in hyperbolic space. We prove the existence of a smooth complete hypersurface of constant scalar curvature with a prescribed asymptotic boundary at…

Differential Geometry · Mathematics 2025-08-26 Bin Wang

All purely bosonic supersymmetric solutions of minimal gauged supergravity in five dimensions are classified. The solutions fall into two classes depending on whether the Killing vector constructed from the Killing spinor is time-like or…

High Energy Physics - Theory · Physics 2014-11-18 Jerome P. Gauntlett , Jan B. Gutowski

We construct a class of toric Kahler manifolds, M_4, of real dimension four, a subset of which corresponds to the Kahler bases of all known 5D asymptotically AdS_5 supersymmetric black-holes. In a certain limit, these Kahler spaces take the…

High Energy Physics - Theory · Physics 2009-11-11 Pau Figueras , Carlos A. R. Herdeiro , Filipe Paccetti Correia

Some exotic compact objects possess evanescent ergosurfaces: timelike submanifolds on which a Killing vector field, which is timelike everywhere else, becomes null. We show that any manifold possessing an evanescent ergosurface but no event…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Joseph Keir

Necessary and sufficient conditions are provided for a class of warped product manifolds with non-vanishing flux to be supersymmetric solutions of 11D supergravity. Many noncompact, but complete solutions can be obtained in this manner,…

High Energy Physics - Theory · Physics 2020-11-10 Teng Fei , Bin Guo , Duong H. Phong

We revisit Allendoerfer-Weil's formula for the Euler characteristic of embedded hypersurfaces in constant sectional curvature manifolds, first taking some time to re-prove it while demonstrating techniques of [2] and then applying it to…

Differential Geometry · Mathematics 2021-09-08 R. Albuquerque

We analyze the timelike supersymmetric solutions of minimal gauged 5-dimensional supergravity for the case in which the K\"ahler base manifold admits a holomorphic isometry and depends on two real functions satisfying a simple second-order…

High Energy Physics - Theory · Physics 2017-04-26 Samuele Chimento , Tomas Ortin

We consider the classification of supersymmetric black hole solutions to five-dimensional STU gauged supergravity that admit torus symmetry. This reduces to a problem in toric K\"ahler geometry on the base space. We introduce the class of…

High Energy Physics - Theory · Physics 2024-05-09 James Lucietti , Praxitelis Ntokos , Sergei G. Ovchinnikov

We consider 5-dimensional gauged supergravity coupled to Abelian vector multiplets, and we look for supersymmetric solutions for which the 4-dimensional K\"ahler base space admits a holomorphic isometry. Taking advantage of this isometry,…

High Energy Physics - Theory · Physics 2017-08-02 Samuele Chimento

We find a new supersymmetric 5D solution of N = 2 supergravity coupled to one hypermultiplet that depends only on the fifth dimension (the energy scale in a holographic context). In one asymptotic limit the domain wall approaches to the…

High Energy Physics - Theory · Physics 2011-08-19 Jorge Bellorín , Claudia Colonnello

Solutions of five dimensional minimal de Sitter supergravity admitting Killing spinors are considered. It is shown that the "timelike'' solutions are determined in terms of a four dimensional hyper-Kahler torsion (HKT) manifold. If the HKT…

High Energy Physics - Theory · Physics 2009-01-26 Jai Grover , Jan B. Gutowski , Carlos A. R. Herdeiro , Wafic Sabra

In this article we complete the classification of the supersymmetric solutions of N=2 D=4 ungauged supergravity coupled to an arbitrary number of vector- and hypermultiplets. We find that in the timelike case the hypermultiplets cause the…

High Energy Physics - Theory · Physics 2008-11-26 Mechthild Huebscher , Patrick Meessen , Tomas Ortin

We investigate the construction of five-dimensional, three-charge supergravity solutions that only have a rotational U(1) isometry. We show that such solutions can be obtained as warped compactifications with a singular ambi-polar…

High Energy Physics - Theory · Physics 2009-04-17 Iosif Bena , Nikolay Bobev , Nicholas P. Warner

We present an asymptotically flat and stationary multi-black lens solution with bi-axisymmetry of $U(1)\times U(1)$ as a supersymmetric solution in the five-dimensional minimal ungauged supergravity. We show that the spatial cross section…

High Energy Physics - Theory · Physics 2017-03-22 Shinya Tomizawa , Taika Okuda

Generalized membrane solutions of D=11 supergravity, for which the transverse space is a toric hyper-K{\" a}hler manifold, are shown to have IIB duals representing the intersection of parallel 3-branes with 5-branes whose orientations are…

High Energy Physics - Theory · Physics 2009-10-07 J. P. Gauntlett , G. W. Gibbons , G. Papadopoulos , P. K. Townsend

We analyze the localization equations relevant to the quantum entropy of spinning supersymmetric black holes in five-dimensional asymptotically flat space. The precise problem is to classify all solutions to the off-shell supersymmetry…

High Energy Physics - Theory · Physics 2020-01-08 Rajesh Kumar Gupta , Sameer Murthy , Manya Sahni

The classification of 1/4-supersymmetric solutions of five dimensional gauged supergravity coupled to arbitrary many abelian vector multiplets, which was initiated in hep-th/0401129, is completed. The structure of all solutions for which…

High Energy Physics - Theory · Physics 2009-11-11 Jan B. Gutowski , Wafic Sabra

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

Relying on the method of spinorial geometry, purely bosonic supersymmetric solutions in N=2, five-dimensional supergravity theories coupled to vector multiplets in all space-time signatures are found. Explicit examples of some new solutions…

High Energy Physics - Theory · Physics 2021-08-18 W. A. Sabra

The authors study the geometry of lightlike hypersurfaces on a four-dimensional manifold $(M, c)$ endowed with a pseudoconformal structure $c = CO (2, 2)$. They prove that a lightlike hypersurface $V \subset (M, c)$ bears a foliation formed…

Differential Geometry · Mathematics 2007-05-23 Maks A. Akivis , Vladislav V. Goldberg
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