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An exact elliptic superpotential for deformations of finite gauge theories / Nick Dorey; Timothy Hollowood; Prem Kumar

Nuclear Physics B, Volume: 624, Issue: 1-2, Pages: 95 - 145

Swansea University Authors: Timothy, Hollowood, Prem, Kumar

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DOI (Published version): 10.1016/S0550-3213(01)00647-2

Abstract

We study relevant deformations of the N = 2 superconformal theory on the world-volume of N D3 branes at an Ak−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 symm...

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Published in: Nuclear Physics B
Published: 2002
URI: https://cronfa.swan.ac.uk/Record/cronfa16138
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Abstract: We study relevant deformations of the N = 2 superconformal theory on the world-volume of N D3 branes at an Ak−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 co- variant 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.
College: College of Science
Issue: 1-2
Start Page: 95
End Page: 145