An Exact Relation for N=1 Orientifold Field Theories with Arbitrary Superpotential

TL;DR

This paper establishes a nonperturbative exact relation between orientifold pairs of supersymmetric theories with arbitrary superpotentials, revealing equivalences in gauge symmetry breaking and moduli spaces at large N and finite N.

Contribution

It introduces an exact nonperturbative relation linking orientifold pairs of supersymmetric theories with arbitrary superpotentials, extending previous understanding of their equivalences.

Findings

Equivalence between super-Yang-Mills theories with different matter representations at N→infinity.

Matching gauge symmetry breaking patterns in orientifold pairs.

Exact mapping of effective superpotentials for finite-N theories.

Abstract

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-->infinity, 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.