An exact relation for N = 1 orientifold field theories with arbitrary superpotential

Adi Armoni; A. Gorsky; M. Shifman

doi:10.1016/j.nuclphysb.2004.10.002

An exact relation for N = 1 orientifold field theories with arbitrary superpotential

Adi Armoni, A. Gorsky, M. Shifman

Physics and Astronomy (Twin Cities)

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Abstract

We discuss a non-perturbative 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.

Original language	English (US)
Pages (from-to)	37-48
Number of pages	12
Journal	Nuclear Physics B
Volume	702
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2004.10.002
State	Published - Dec 6 2004

Bibliographical note

Funding Information:
A.A. thanks R. Argurio, K. Landsteiner, E. Lopez, G. Veneziano and N. Wyllard for useful discussions. A.G. thanks FTPI at University of Minnesota, where this work was partially done, for the kind hospitality. The work of M. S. is supported in part by DOE grant DE-FG02-94ER408.

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AB - We discuss a non-perturbative 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.

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An exact relation for N = 1 orientifold field theories with arbitrary superpotential

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