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Type: Artigo de periódico
Title: Nonsingular solutions of Hitchin's equations for noncompact gauge groups
Author: Mosna, RA
Jardim, M
Abstract: We consider a general ansatz for solving the 2-dimensional Hitchin's equations, which arise as dimensional reduction of the 4-dimensional self-dual Yang-Mills equations, with remarkable integrability properties. We focus on the case when the gauge group G is given by a real form of SL(2,C). For G = SO(2, 1), the resulting field equations are shown to reduce to either the Liouville, elliptic sinh-Gordon or elliptic sine-Gordon equations. As opposed to the compact case, given by G = SU(2), the field equations associated with the noncompact group SO (2, 1) are shown to have smooth real solutions with nonsingular action densities, which are furthermore localized in some sense. We conclude by discussing some particular solutions, defined on R-2, S-2 and T-2, that come out of this ansatz.
Country: Inglaterra
Editor: Iop Publishing Ltd
Rights: fechado
Identifier DOI: 10.1088/0951-7715/20/8/005
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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