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Surface operators and separation of variables

Frenkel, Edward and Gukov, Sergei and Teschner, Jörg (2016) Surface operators and separation of variables. Journal of High Energy Physics, 2016 (1). Art. No. 179. ISSN 1126-6708. doi:10.1007/JHEP01(2016)179.

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Alday, Gaiotto, and Tachikawa conjectured relations between certain 4d N = 2 supersymmetric field theories and 2d Liouville conformal field theory. We study generalizations of these relations to 4d theories with surface operators. For one type of surface operators the corresponding 2d theory is the WZW model, and for another type — the Liouville theory with insertions of extra degenerate fields. We show that these two 4d theories with surface operators exhibit an IR duality, which reflects the known relation (the so-called separation of variables) between the conformal blocks of the WZW model and the Liouville theory. Furthermore, we trace this IR duality to a brane creation construction relating systems of M5 and M2 branes in M-theory. Finally, we show that this duality may be expressed as an explicit relation between the generating functions for the changes of variables between natural sets of Darboux coordinates on the Hitchin moduli space.

Item Type:Article
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URLURL TypeDescription Paper
Gukov, Sergei0000-0002-9486-1762
Additional Information:© 2016 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: September 19, 2015; Accepted: December 10, 2015; Published: January 29, 2016. Article funded by SCOAP3. We would like to thank D. Gaiotto, K. Maruyoshi, and N. Nekrasov for useful discussions and comments. The research of E.F. was supported by the NSF grants DMS-1160328 and DMS-1201335. The work of S.G. is funded in part by the DOE Grant DE-SC0011632 and the Walter Burke Institute for Theoretical Physics.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Subject Keywords:Brane Dynamics in Gauge Theories, Supersymmetric gauge theory
Issue or Number:1
Record Number:CaltechAUTHORS:20160225-125012315
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:64761
Deposited By: Tony Diaz
Deposited On:25 Feb 2016 21:19
Last Modified:10 Nov 2021 23:35

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