Five-Dimensional Gauge Theories and Quantum Mechanical Matrix Models

Details Five-Dimensional Gauge Theories and Quantum Mechanical Matrix Models Five-Dimensional Gauge Theories and Quantum Mechanical Matrix Models

2003-02-20

arxiv.org/abs/hep-th/0302165v2

JHEP 0303:039,2003

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures, JHEP3.cls, important references added

Scientific paper

10.1088/1126-6708/2003/03/039

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.

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