An Exact Relation for N = 1 Orientifold Field Theories with Arbitrary Superpotential
نویسنده
چکیده
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 these theories too. The moduli spaces in the limiting case of a vanishing superpotential are also discussed. Finally we argue that there is an exact mapping between the effective superpotentials of two finite-N theories belonging to an orientifold pair.
منابع مشابه
Equivalence of effective superpotentials
We show that the low-energy effective superpotential of an N = 1 U(N) gauge theory with matter in the adjoint and arbitrary even treelevel superpotential has, in the classically unbroken case, the same functional form as the effective superpotential of a U(N) gauge theory with matter in the fundamental and the same tree-level interactions, up to some rescalings of the couplings. We also argue t...
متن کاملGeometric Dual and Matrix Theory for SO/Sp Gauge Theories
In this paper, we give a proof of the equivalence of N = 1 SO/Sp gauge theories deformed from N = 2 by the superpotential of adjoint field Φ and the dual type IIB supersting theory on CY threefold geometries with fluxes and orientifold action after geometric transition. Furthermore, by relating the geometric picture to the matrix model, we show the equivalence among the field theory and the cor...
متن کاملExact Results in Non-Supersymmetric Large N Orientifold Field Theories
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 orient...
متن کاملPhases of N = 1 Supersymmetric SO / Sp Gauge Theories via Matrix Model
We extend the results of Cachazo, Seiberg and Witten to N = 1 supersymmetric gauge theories with gauge groups SO(2N), SO(2N + 1) and Sp(2N). By taking the superpotential which is an arbitrary polynomial of adjoint matter Φ as a small perturbation of N = 2 gauge theories, we examine the singular points preserving N = 1 supersymmetry in the moduli space where mutually local monopoles become massl...
متن کاملA Large N Duality via a Geometric Transition
We propose a large N dual of 4d, N = 1 supersymmetric, SU(N) Yang-Mills with adjoint field Φ and arbitrary superpotential W (Φ). The field theory is geometrically engineered via D-branes partially wrapped over certain cycles of a non-trivial Calabi-Yau geometry. The large N , or low-energy, dual arises from a geometric transition of the Calabi-Yau, where the branes have disappeared and have bee...
متن کامل