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We discuss the fate of the Z2 symmetry and the vacuum structure in anSU(N)xSU(N) gauge theory with one bifundamental Dirac fermion. This theory canbe obtained from SU(2N) supersymmetric Yang--Mills (SYM) theory by virtue of Z2orbifolding. We analyze dynamics of domain walls and argue that the Z2 symmetryis spontaneously broken. Since unbroken Z2 is a necessary condition fornonperturbative planar equivalence we conclude that the orbifold daughter isnonperturbatively nonequivalent to its supersymmetric parent. En route, ourinvestigation reveals the existence of fractional domain walls, similar tofractional D-branes of string theory on orbifolds. We conjecture on the fate ofthese domain walls in the true solution of the Z2-broken orbifold theory. Wealso comment on relation with nonsupersymmetric string theories andclosed-string tachyon condensation.Comment: 37 pages, 7 figures. v2: various significant changes; revisions  explained in the introduction. Final version to appear in Phys.Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Spontaneous<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>symmetry breaking in the orbifold daughter of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>super-Yang-Mills theory, fractional domain walls and vacuum structure

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