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Five-dimensional gauge theories and quantum mechanical matrix models

Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "03", Issue: 03, Pages: 039 - 039

Swansea University Author: Timothy Hollowood Orcid Logo

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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 t...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2003
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28537
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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
College: Faculty of Science and Engineering
Issue: 03
Start Page: 039
End Page: 039