Five-Dimensional Gauge Theories and Quantum Mechanical Matrix Models
High Energy Physics - Theory
2010-11-19 v2
Abstract
We show how the Dijkgraaf-Vafa matrix model proposal can be extended to describe five-dimensional gauge theories compactified on a circle to four dimensions. This involves solving a certain quantum mechanical matrix model. We do this for the lift of the N=1* theory to five dimensions. We show that the resulting expression for the superpotential in the confining vacuum is identical with the elliptic superpotential approach based on Nekrasov's five-dimensional generalization of Seiberg-Witten theory involving the relativistic elliptic Calogero-Moser, or Ruijsenaars-Schneider, integrable system.
Cite
@article{arxiv.hep-th/0302165,
title = {Five-Dimensional Gauge Theories and Quantum Mechanical Matrix Models},
author = {Timothy J. Hollowood},
journal= {arXiv preprint arXiv:hep-th/0302165},
year = {2010}
}
Comments
11 pages, 2 figures, JHEP3.cls, important references added