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Title: Non-Abelian black holes in D=5 maximal gauged supergravity

Abstract

We investigate static non-Abelian black hole solutions of anti-de Sitter (AdS) Einstein-Yang-Mills-dilaton gravity, which is obtained as a consistent truncation of five-dimensional maximal gauged supergravity. If the dilaton is (consistently) set to zero, the remaining equations of motion, with a spherically-symmetric ansatz, may be derived from a superpotential. The associated first-order equations admit an explicit solution supported by a non-Abelian SU(2) gauge potential, which has a logarithmically growing mass term. In an extremal limit the horizon geometry becomes AdS{sub 2}xS{sup 3}. If the dilaton is also excited, the equations of motion cannot easily be solved explicitly, but we obtain the asymptotic form of the more general non-Abelian black holes in this case. An alternative consistent truncation, in which the Yang-Mills fields are set to zero, also admits a description in terms of a superpotential. This allows us to construct explicit wormhole solutions (neutral spherically-symmetric domain walls). These solutions may be generalized to dimensions other than five.

Authors:
 [1];  [2];  [2]
  1. Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104 (United States)
  2. George and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A and M University, College Station, Texas 77843-4242 (United States)
Publication Date:
OSTI Identifier:
21409310
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 81; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.81.044023; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANTI DE SITTER SPACE; ASYMPTOTIC SOLUTIONS; BLACK HOLES; EQUATIONS OF MOTION; GAUGE INVARIANCE; GRAVITATION; MANY-DIMENSIONAL CALCULATIONS; MASS; SU-2 GROUPS; SUPERGRAVITY; SYMMETRY; YANG-MILLS THEORY; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; SU GROUPS; SYMMETRY GROUPS; UNIFIED-FIELD THEORIES

Citation Formats

Cvetic, M, Lue, H, Division of Applied Mathematics and Theoretical Physics, China Institute for Advanced Study, Central University of Finance and Economics, Beijing, 100081, Pope, C N, and DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 OWA. Non-Abelian black holes in D=5 maximal gauged supergravity. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.81.044023.
Cvetic, M, Lue, H, Division of Applied Mathematics and Theoretical Physics, China Institute for Advanced Study, Central University of Finance and Economics, Beijing, 100081, Pope, C N, & DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 OWA. Non-Abelian black holes in D=5 maximal gauged supergravity. United States. https://doi.org/10.1103/PHYSREVD.81.044023
Cvetic, M, Lue, H, Division of Applied Mathematics and Theoretical Physics, China Institute for Advanced Study, Central University of Finance and Economics, Beijing, 100081, Pope, C N, and DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 OWA. 2010. "Non-Abelian black holes in D=5 maximal gauged supergravity". United States. https://doi.org/10.1103/PHYSREVD.81.044023.
@article{osti_21409310,
title = {Non-Abelian black holes in D=5 maximal gauged supergravity},
author = {Cvetic, M and Lue, H and Division of Applied Mathematics and Theoretical Physics, China Institute for Advanced Study, Central University of Finance and Economics, Beijing, 100081 and Pope, C N and DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 OWA},
abstractNote = {We investigate static non-Abelian black hole solutions of anti-de Sitter (AdS) Einstein-Yang-Mills-dilaton gravity, which is obtained as a consistent truncation of five-dimensional maximal gauged supergravity. If the dilaton is (consistently) set to zero, the remaining equations of motion, with a spherically-symmetric ansatz, may be derived from a superpotential. The associated first-order equations admit an explicit solution supported by a non-Abelian SU(2) gauge potential, which has a logarithmically growing mass term. In an extremal limit the horizon geometry becomes AdS{sub 2}xS{sup 3}. If the dilaton is also excited, the equations of motion cannot easily be solved explicitly, but we obtain the asymptotic form of the more general non-Abelian black holes in this case. An alternative consistent truncation, in which the Yang-Mills fields are set to zero, also admits a description in terms of a superpotential. This allows us to construct explicit wormhole solutions (neutral spherically-symmetric domain walls). These solutions may be generalized to dimensions other than five.},
doi = {10.1103/PHYSREVD.81.044023},
url = {https://www.osti.gov/biblio/21409310}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 81,
place = {United States},
year = {Mon Feb 15 00:00:00 EST 2010},
month = {Mon Feb 15 00:00:00 EST 2010}
}