Spontaneous Z2 symmetry breaking in the orbifold daughter of N=1 super-Yang-Mills theory, fractional domain walls and vacuum structure

A. Armoni, A. Gorsky, M. Shifman

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Abstract

We discuss the fate of the Z2 symmetry and the vacuum structure in a SU(N)×SU(N) gauge theory with one bifundamental Dirac fermion. This theory can be obtained from SU(2N) supersymmetric Yang-Mills theory by virtue of Z2 orbifolding. We analyze dynamics of domain walls and argue that the Z2 symmetry is spontaneously broken. Since unbroken Z2 is a necessary condition for nonperturbative planar equivalence we conclude that the orbifold daughter is nonperturbatively nonequivalent to its supersymmetric parent. En route, our investigation reveals the existence of fractional domain walls, similar to fractional D-branes of string theory on orbifolds. We conjecture on the fate of these domain walls in the true solution of the Z2-broken orbifold theory. We also comment on relation with nonsupersymmetric string theories and closed-string tachyon condensation.

Original languageEnglish (US)
Article number105001
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume72
Issue number10
DOIs
StatePublished - Nov 15 2005

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