Level/rank duality and Chern-Simons-matter theories

Hsin, Po-Shen; Seiberg, Nathan

doi:10.1007/JHEP09(2016)095

Title: Level/rank duality and Chern-Simons-matter theories

Journal Article · Fri Sep 16 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP09(2016)095· OSTI ID:1434620

Hsin, Po-Shen ^[1]; Seiberg, Nathan ^[1]

Princeton Univ., NJ (United States)

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.

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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), Vol. 2016, Issue 9; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 83 works

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References (38)

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