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Loop and surface operators in N = 2 gauge theory and Liouville modular geometry

Alday, Luis F. and Gaiotto, Davide and Gukov, Sergei and Tachikawa, Yuji and Verlinde, Herman (2010) Loop and surface operators in N = 2 gauge theory and Liouville modular geometry. Journal of High Energy Physics, 2010 (1). Art. No. 113. ISSN 1126-6708. doi:10.1007/JHEP01(2010)113.

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Recently, a duality between Liouville theory and four dimensional N = 2 gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory, surface operators and line operators, under this correspondence. We map such objects to specific operators in Liouville theory. We employ this connection to compute the expectation value of general supersymmetric ’t Hooft-Wilson line operators in a variety of N = 2 gauge theories.

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Gukov, Sergei0000-0002-9486-1762
Additional Information:© 2010 Springer. Published for SISSA by Springer. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. Received: 31 October 2009. Accepted: 6 January 2010. Published online: 27 January 2010. We have benefited from useful discussions with N. Drukker, J. Gomis, J. Maldacena, N. Nekrasov, T. Okuda, V. Pestun, N. Seiberg, J. Teschner, C. Vafa, E. Verlinde, and E. Witten. L.F.A. and D.G. are supported in part by the DOE grant DE-FG02- 90ER40542. D.G. is supported in part by the Roger Dashen membership in the Institute for Advanced Study. YT is supported in part by the NSF grant PHY-0503584, and by the Marvin L. Goldberger membership at the Institute for Advanced Study. The research of H.V. is supported by the National Science Foundation under Grant No. PHY-0756966 and by an Einstein Fellowship of the Institute for Advanced Study. The work of SG is supported in part by DOE grant DE-FG03-92-ER40701, in part by NSF grant PHY07-57647, and in part by the Alfred P. Sloan Foundation. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.
Group:Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02- 90ER40542
Department of Energy (DOE)DE-FG03-92-ER40701
Institute for Advanced StudyUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Subject Keywords:Supersymmetry and Duality; Conformal and W Symmetry; Supersymmetric gauge theory
Issue or Number:1
Record Number:CaltechAUTHORS:20100224-150755870
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17582
Deposited By: Tony Diaz
Deposited On:02 Mar 2010 23:42
Last Modified:08 Nov 2021 23:37

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