Published January 2010
| Published
Journal Article
Open
Loop and surface operators in N = 2 gauge theory and Liouville modular geometry
Chicago
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Abstract
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.
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.Attached Files
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Additional details
- Eprint ID
- 17582
- Resolver ID
- CaltechAUTHORS:20100224-150755870
- Department of Energy (DOE)
- DE-FG02- 90ER40542
- Department of Energy (DOE)
- DE-FG03-92-ER40701
- Institute for Advanced Study
- NSF
- PHY-0503584
- NSF
- PHY-0757647
- NSF
- PHY-0756966
- Alfred P. Sloan Foundation
- Created
-
2010-03-02Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field
- Caltech groups
- Caltech Theory