Gauge theories on hyperbolic spaces and dual wormhole instabilities

Journal Article · Wed Sep 15 00:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.066004· OSTI ID:20705288

Buchel, Alex ^[1]

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1. Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7 (Canada)

We study supergravity duals of strongly coupled four-dimensional gauge theories formulated on compact quotients of hyperbolic spaces. The resulting background geometries are represented by Euclidean wormholes, which complicate establishing the precise gauge theory/string theory correspondence dictionary. These backgrounds suffer from the nonperturbative instabilities arising from the D3D3-bar pair-production in the background four-form potential. We discuss conditions for suppressing this Schwingerlike instability. We find that Euclidean wormholes arising in this construction develop a naked singularity before they can be stabilized.

• OSTI ID: 20705288
• Journal Information: Physical Review. D, Particles Fields, Vol. 70, Issue 6; Other Information: DOI: 10.1103/PhysRevD.70.066004; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COSMOLOGY
EUCLIDEAN SPACE
GAUGE INVARIANCE
GEOMETRY
INSTABILITY
MEMBRANES
PAIR PRODUCTION
POTENTIALS
QUANTUM FIELD THEORY
SCHWINGER SOURCE THEORY
SINGULARITY
SPACE-TIME
SUPERGRAVITY
SUPERSTRING MODELS