Symmetry breaking from Scherk-Schwarz compactification

Details Symmetry breaking from Scherk-Schwarz compactification Symmetry breaking from Scherk-Schwarz compactification

2006-11-24

arxiv.org/abs/hep-ph/0611309v2

JHEP 0706:014,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 1 figure, Section 4 modified

Scientific paper

10.1088/1126-6708/2007/06/014

We analyze the classical stable configurations of an extra-dimensional gauge theory, in which the extra dimensions are compactified on a torus. Depending on the particular choice of gauge group and the number of extra dimensions, the classical vacua compatible with four-dimensional Poincar\'e invariance and zero instanton number may have zero energy. For SU(N) on a two-dimensional torus, we find and catalogue all possible degenerate zero-energy stable configurations in terms of continuous or discrete parameters, for the case of trivial or non-trivial 't Hooft non-abelian flux, respectively. We then describe the residual symmetries of each vacua.

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