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Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories

Gukov, Sergei and Kapustin, Anton (2013) Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160503-094901740

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Abstract

We revisit the role of loop and surface operators as order parameters for gapped phases of four-dimensional gauge theories. We show that in some cases surface operators are confined, and that this fact can be used to distinguish phases which are not distinguished by the Wilson-'t Hooft criterion. The long-distance behavior of loop and surface operators which are neither confined nor screened is controlled by a 4d TQFT. We construct these TQFTs for phases which are characterized by the presence of electrically and/or magnetically charged condensates. Interestingly, the TQFT describing a phase with a nonabelian monopole condensate is based on the theory of nonabelian gerbes. We also show that in phases with a dyonic condensate the low-energy theta-angle is quantized.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1307.4793arXivDiscussion Paper
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Additional Information:We are grateful to Nathan Seiberg for a collaboration during various stages of this project and to Gregory Moore for a discussion. This work was supported in part by the DOE grant DE-FG02-92ER40701 and by the National Science Foundation under Grant No. PHYS-1066293 and the hospitality of the Aspen Center for Physics.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
NSFPHY-1066293
Record Number:CaltechAUTHORS:20160503-094901740
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160503-094901740
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66613
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 May 2016 18:29
Last Modified:27 Oct 2017 18:27

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