Timothy J. Hollowood JHEP03(2003)039 doi:10.1088/1126-6708/2003/03/039
Five-dimensional gauge theories and quantum mechanical matrix models
Timothy J. Hollowood1
Show affiliationsWe 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 
= 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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E-print Number: hep-th/0302165
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Issue 03 (March 2003)
Received 4 March 2003, accepted for publication 24 March 2003
Published 15 April 2003
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Five-dimensional gauge theories and quantum mechanical matrix models
Timothy J. Hollowood JHEP03(2003)039
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