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

Abstract

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

arXiv comment9 pages, 2 fugures

References in corpus (5)

• Large N Field Theories, String Theory and Gravity
• Towards the large N limit of pure N=1 super Yang Mills
• Non-Abelian BPS Monopoles in N=4 Gauged Supergravity
• Non-Abelian Solitons in N=4 Gauged Supergravity and Leading Order String Theory
• Four-dimensional N=4 SO(4) Gauged Supergravity from D=11

Cited by in corpus (5)

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• Cosmological monopoles and non-abelian black holes
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• Non-Abelian fields in AdS${}_4$ spacetime: axially symmetric, composite configurations
• Gravitating non-Abelian solitons and hairy black holes in higher dimensions