An Exact Elliptic Superpotential for N=1^* Deformations of Finite N=2 Gauge Theories

Details An Exact Elliptic Superpotential for N=1^* Deformations of Finite N=2 Gauge Theories An Exact Elliptic Superpotential for N=1^* Deformations of Finite N=2 Gauge Theories

2001-08-29

arxiv.org/abs/hep-th/0108221v1

Nucl.Phys.B624:95-145,2002

Physics

High Energy Physics

High Energy Physics - Theory

55 pages, 5 figures, latex with JHEP.cls

Scientific paper

10.1016/S0550-3213(01)00647-2

We study relevant deformations of the N=2 superconformal theory on the world-volume of N D3 branes at an A_{k-1} singularity. In particular, we determine the vacuum structure of the mass-deformed theory with N=1 supersymmetry and show how the different vacua are permuted by an extended duality symmetry. We then obtain exact, modular covariant formulae (for all k, N and arbitrary gauge couplings) for the holomorphic observables in the massive vacua in two different ways: by lifting to M-theory, and by compactification to three dimensions and subsequent use of mirror symmetry. In the latter case, we find an exact superpotential for the model which coincides with a certain combination of the quadratic Hamiltonians of the spin generalization of the elliptic Calogero-Moser integrable system.

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