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Level/rank duality and Chern-Simons-matter theories

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]
  1. Princeton Univ., NJ (United States); Princeton University, School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, USA
  2. Princeton Univ., NJ (United States)
+ Show Author Affiliations
We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including gauge fields, spin c connections and the metric). The non-trivial maps between the currents and the line operators in the dual theories is accounted for by mixing of these fields. In order for the duality to be valid we must add finite counterterms depending on these background fields. This analysis allows us to resolve a number of puzzles with these dualities, to provide derivations of some of them, and to find new consistency conditions and relations between them. In addition, we find new level/rank dualities of topological Chern-Simons theories and new dualities of Chern-Simons-matter theories, including new boson/boson and fermion/fermion dualities.
Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0009988
OSTI ID:
1434620
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2016; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Chern-Simons Theories
Duality in Gauge Field Theories
Nonperturbative Effects
Topological Field Theories