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

Physics – High Energy Physics – High Energy Physics - Theory

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14 pages, LaTex. v2: a new introductory section, a few comments and refs. added. v3: minor changes, to appear in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2004.10.002

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.

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