Kapustin, Anton (1998) Solution of N = 2 gauge theories via compactification to three dimensions. Nuclear Physics B, 534 (1-2). pp. 531-545. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20111220-132413324
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A number of N = 2 gauge theories can be realized by brane configurations in Type IIA string theory. One way of solving them involves lifting the brane configuration to M-theory. In this paper we present an alternative way of analyzing a subclass of these theories (elliptic models). We observe that upon compactification on a circle one can use a version of mirror symmetry to map the original brane configuration into one containing only D-branes. Simultaneously the Coulomb branch of the four-dimensional theory is mapped to the Higgs branch of a five-dimensional theory with three-dimensional impurities. The latter does not receive quantum corrections and can be analyzed exactly. The solution is naturally formulated in terms of an integrable system, which is a version of a Hitchin system on a punctured torus.
|Additional Information:||© 1998 Elsevier B.V. Received 14 May 1998; Accepted 3 July 1998. Available online 10 February 1999. Research supported in part by DOE grant DE-FG02-90-ER40542. I would like to thank S. Cherkis, A. Hanany, S. Sethi, A. Uranga, and E. Witten for useful discussions. I am also grateful to E. Witten for reading a preliminary draft of this paper.|
|Subject Keywords:||Gauge theories; Integrable models|
|Other Numbering System:|
|Classification Code:||PACS: 11.15.-q; 11.30.Pb|
|Official Citation:||Anton Kapustin, Solution of N = 2 gauge theories via compactification to three dimensions, Nuclear Physics B, Volume 534, Issues 1-2, 23 November 1998, Pages 531-545, ISSN 0550-3213, 10.1016/S0550-3213(98)00520-3.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||23 Dec 2011 18:03|
|Last Modified:||04 May 2016 23:23|
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