On Effective Superpotentials and Compactification to Three Dimensions

Abstract

We study four dimensional N=2 SO/SP supersymmetric gauge theory on R^3\times S^1 deformed by a tree level superpotential. We will show that the exact superpotential can be obtained by making use of the Lax matrix of the corresponding integrable model which is the periodic Toda lattice. The connection between vacua of SO(2N) and SO(2kN-2k+2) can also be seen in this framework. Similar analysis can also be applied for SO(2N+1) and SP(2N).

18 pages, latex file, v2: typos corrected, refs added

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Cited by in corpus (5)

• A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories
• Improved matrix-model calculation of the N=2 prepotential
• N=1 G_2 SYM theory and Compactification to Three Dimensions
• Classical Spin Chains and Exact Three-dimensional Superpotentials
• Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems