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Coupling a QFT to a TQFT and duality

Kapustin, Anton and Seiberg, Nathan (2014) Coupling a QFT to a TQFT and duality. Journal of High Energy Physics, 2014 (4). Art. No. 001. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20140516-101255732

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Abstract

We consider coupling an ordinary quantum field theory with an infinite number of degrees of freedom to a topological field theory. On ℝ^d the new theory differs from the original one by the spectrum of operators. Sometimes the local operators are the same but there are different line operators, surface operators, etc. The effects of the added topological degrees of freedom are more dramatic when we compactify ℝ^d, and they are crucial in the context of electric-magnetic duality. We explore several examples including Dijkgraaf-Witten theories and their generalizations both in the continuum and on the lattice. When we couple them to ordinary quantum field theories the topological degrees of freedom allow us to express certain characteristic classes of gauge fields as integrals of local densities, thus simplifying the analysis of their physical consequences.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1401.0740arXivWorking Paper
http://dx.doi.org/10.1007/JHEP04(2014)001 DOIArticle
http://link.springer.com/article/10.1007%2FJHEP04%282014%29001PublisherArticle
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Seiberg, Nathan0000-0003-3897-046X
Additional Information:© 2014 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. Published for SISSA by Springer. Article funded by SCOAP3. Received: February 21, 2014; Accepted: February 24, 2014; Published: April 1, 2014. We would like to thank O. Aharony, T. Banks, E. Fradkin, S. Kivelson, A. Kitaev, J. Maldacena, S. Minwalla, G. Moore, S. Razamat, S. Shenker, Y. Tachikawa, B. Willett, and E. Witten for useful discussions. The work of AK was supported in part by DOE grant DE-FG02-92ER40701 and by the National Science Foundation under Grant No. PHYS-1066293. 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.
Group:Caltech Theory
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
NSFPHY-1066293
Department of Energy (DOE)DE-SC0009988
Binational Science Foundation (USA-Israel)2010/629
Subject Keywords:Wilson; 't Hooft and Polyakov loops; Duality in Gauge Field Theories; Lattice Gauge Field Theories; Topological Field Theories
Record Number:CaltechAUTHORS:20140516-101255732
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140516-101255732
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45794
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 May 2014 19:42
Last Modified:27 Oct 2017 18:15

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