English

Regular non-Abelian vacua in ${\cal N}=4$, SO(4) gauged supergravity

High Energy Physics - Theory 2009-11-10 v1

Abstract

We present a family of globally regular N=1{\cal N}=1 vacua in the D=4, N=4{\cal N}=4 gauged supergravity of Gates and Zwiebach. These solutions are labeled by the ratio ξ\xi of the two gauge couplings, and for ξ=0\xi=0 they reduce to the supergravity monopole previously used for constructing the gravity dual of N=1{\cal N}=1 super Yang-Mills theory. For ξ>0\xi>0 the solutions are asymptotically anti de Sitter, but with an excess of the solid angle, and they reduce exactly to anti de Sitter for ξ=1\xi=1. Solutions with ξ<0\xi<0 are topologically R1×S3R^1\times S^3, and for ξ=2\xi=-2 they become R1×S3R^1\times S^3 geometrically. All solutions with ξ0\xi\neq 0 can be promoted to D=11 to become vacua of M-theory.

Keywords

Cite

@article{arxiv.hep-th/0404171,
  title  = {Regular non-Abelian vacua in ${\cal N}=4$, SO(4) gauged supergravity},
  author = {Ali H. Chamseddine and Mikhail S. Volkov},
  journal= {arXiv preprint arXiv:hep-th/0404171},
  year   = {2009}
}

Comments

9 pages, 2 fugures