An exact elliptic superpotential for deformations of finite gauge theories

2001/08/29 by Nick Dorey, Timothy J. Hollowood, S. Prem Kumar · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1016/s0550-3213(01)00647-2

published as Nucl.Phys.B624:95-145,2002 · 55 pages, 5 figures, latex with JHEP.cls

arxiv created 2001/08/29 · openalex publication_date 2002/03/01 · arxiv updated 2011/04/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Softly-broken Script N = 4 supersymmetry in the large-N limit

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