Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
نویسنده
چکیده
We consider non-supersymmetric large N orientifold field theories. Specifically, we discuss a gauge theory with a Dirac fermion in the anti-symmetric tensor representation. We argue that, at large N and in a large part of its bosonic sector, this theory is non-perturbatively equivalent to N = 1 SYM, so that exact results established in the latter (parent) theory also hold in the daughter orientifold theory. In particular, the non-supersymmetric theory has an exactly calculable bifermion condensate, exactly degenerate parity doublets, and a vanishing cosmological constant (all this to leading order in 1/N). ⋆ Permanent address.
منابع مشابه
Planar Limit of Orientifold Field Theories and Emergent Center Symmetry
We consider orientifold field theories (i.e. SU(N) Yang–Mills theories with fermions in the two-index symmetric or antisymmetric representations) on R3 × S1 where the compact dimension can be either temporal or spatial. These theories are planar equivalent to supersymmetric Yang–Mills. The latter has ZN center symmetry. The famous Polyakov criterion establishing confinement-deconfinement phase ...
متن کاملAn Exact Relation for N = 1 Orientifold Field Theories with Arbitrary Superpotential
We discuss a nonperturbative relation for orientifold parent/daughter pairs of supersymmetric theories with an arbitrary tree-level superpotential. We show that super-Yang-Mills (SYM) theory with matter in the adjoint representation at N → ∞, is equivalent to a SYM theory with matter in the antisymmetric representation and a related superpotential. The gauge symmetry breaking patterns match in ...
متن کاملLarge N Gauge Theories from Orientifolds with NS-NS B-flux
We consider D-branes and orientifold planes embedded in non-compact (orbifolded) space-time. We point out that even in the non-compact cases we can turn on non-zero (quantized) NS-NS antisymmetric B-field. In particular, we study the effect of the B-field on four dimensional large N gauge theories from orientifolds. Thus, in theories with both D3and D7-branes, the effect of the B-field is non-t...
متن کاملThe Cosmological Constant and Domain Walls in Orientifold Field Theories and N = 1 Gluodynamics
We discuss domain walls and vacuum energy density (cosmological constant) in N = 1 gluodynamics and in non-supersymmetric large N orientifold field theories which have been recently shown to be planar equivalent (in the boson sector) to N = 1 gluodynamics. A relation between the vanishing force between two parallel walls and vanishing cosmological constant is pointed out. This relation may expl...
متن کاملEffective Lagrangians for Orientifold Theories
We construct effective Lagrangians of the Veneziano-Yankielowicz (VY) type for two non-supersymmetric theories which are orientifold daughters of supersymmetric gluodynamics (containing one Dirac fermion in the two-index antisymmetric or symmetric representation of the gauge group). Since the parent and daughter theories are planar equivalent, at N → ∞ the effective Lagrangians in the orientifo...
متن کامل