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Surface defects and resolvents

Gaiotto, Davide and Gukov, Sergei and Seiberg, Nathan (2013) Surface defects and resolvents. Journal of High Energy Physics, 2013 (9). Art. No. 70. ISSN 1126-6708.

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We study a large class of BPS surface defects in 4d N=2 gauge theories. They are defined by coupling a 2d N=(2,2) gauged linear sigma model to the 4d bulk degrees of freedom. Our main result is an efficient computation of the effective twisted superpotential for all these models in terms of a basic object closely related to the resolvent of the 4d gauge theory, which encodes the curve describing the 4d low energy dynamics. We reproduce and extend the results of brane constructions and compute the effective twisted superpotential for general monodromy surface defects. We encounter novel, puzzling field theory phenomena in the low energy dynamics of the simplest surface defects and we propose some local models to explain them. We also study in some detail the behavior of surface defects near monopole points of the bulk theory’s Coulomb branch. Finally, we explore the effect on the defect of breaking the bulk supersymmetry from N=2 to N=1 and show that certain quantities are independent of this breaking.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Gukov, Sergei0000-0002-9486-1762
Seiberg, Nathan0000-0003-3897-046X
Additional Information:© SISSA 2013. Published for SISSA by Springer. Received: July 27, 2013. Accepted: August 21, 2013. Published: September 12, 2013. We are grateful to A. Kapustin for collaboration at an early stage of the project, and many important discussions. The research of DG was supported by the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development and Innovation. The work of SG is supported in part by DOE Grant DE-FG03-92-ER40701FG-02. The work of NS was supported in part by DOE grant DE-SC0009988 and by the United States-Israel Binational Science Foundation (BSF) under grant number 2010/629. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.
Funding AgencyGrant Number
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Industry CanadaUNSPECIFIED
Ontario Ministry of Economic Development and InnovationUNSPECIFIED
Department of Energy (DOE)DE-FG03-92-ER40701FG-02
Department of Energy (DOE)DE-SC0009988
Binational Science Foundation (United States-Israel)2010/629
Subject Keywords:Supersymmetric gauge theory, Nonperturbative Effects, Sigma Models
Issue or Number:9
Record Number:CaltechAUTHORS:20131105-071959496
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42237
Deposited By: Ruth Sustaita
Deposited On:05 Nov 2013 16:15
Last Modified:09 Mar 2020 13:18

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