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SpontaneousZ2symmetry breaking in the orbifold daughter ofN=1super-Yang-Mills theory, fractional domain walls and vacuum structure

M. Shifman, A. Gorsky, Adi Armoni Orcid Logo

Physical Review D, Volume: "D72", Issue: 10, Start page: 105001

Swansea University Author: Adi Armoni Orcid Logo

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Abstract

We discuss the fate of the Z2 symmetry and the vacuum structure in an SU(N)xSU(N) gauge theory with one bifundamental Dirac fermion. This theory can be obtained from SU(2N) supersymmetric Yang--Mills (SYM) theory by virtue of Z2 orbifolding. We analyze dynamics of domain walls and argue that the Z2...

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Published in: Physical Review D
ISSN: 1550-7998 1550-2368
Published: 2005
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URI: https://cronfa.swan.ac.uk/Record/cronfa28658
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Abstract: We discuss the fate of the Z2 symmetry and the vacuum structure in an SU(N)xSU(N) gauge theory with one bifundamental Dirac fermion. This theory can be obtained from SU(2N) supersymmetric Yang--Mills (SYM) 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
College: Faculty of Science and Engineering
Issue: 10
Start Page: 105001