Regular non-Abelian vacua in N=4, SO(4) gauged supergravity

Journal Article · Fri Oct 15 04:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.086007· OSTI ID:20705542

Chamseddine, Ali H ^[1]; Volkov, Mikhail S ^[2]

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1. CAMS and Physics Department, American University of Beirut, Beirut (Lebanon)
2. LMPT CNRS-UMR 6083, Universite de Tours, Parc de Grandmont, 37200 Tours (France)

We present a family of globally regular N=1 vacua in the D=4, 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 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{sup 1}xS{sup 3}, and for {xi}=-2 they become R{sup 1}xS{sup 3} geometrically. All solutions with {xi}{ne}0 can be promoted to D=11 to become vacua of M-theory.

• OSTI ID: 20705542
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DE SITTER GROUP
GRAVITATION
MAGNETIC MONOPOLES
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SO-4 GROUPS
SUPERGRAVITY
SUPERSYMMETRY
VACUUM STATES
YANG-MILLS THEORY