Notes on supersymmetric Sp(N) theories with an antisymmetric tensor

Details Notes on supersymmetric Sp(N) theories with an antisymmetric tensor Notes on supersymmetric Sp(N) theories with an antisymmetric tensor

2003-07-06

arxiv.org/abs/hep-th/0307063v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

We study supersymmetric Sp(N) gauge theories with an antisymmetric tensor and degree n+1 tree level superpotential. The generalized Konishi anomaly equations derived in hep-th/0304119 and hep-th/0304138 are used to compute the low energy superpotential of the theory. This is done by imposing a certain integrality condition on the periods of a meromorphic one form. Explicit computations for Sp(2), Sp(4), Sp(6) and Sp(8) with cubic superpotential are done and full agreement with the results of the dynamically generated superpotential approach is found. As a byproduct, we find a very precise map from Sp(N) to a U(N+2n) theory with one adjoint and a degree n+1 tree level superpotential.

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