Exceptional Chern-Simons-Matter dualities

Cordova, Clay; Hsin, Po-Shen; Ohmori, Kantaro

doi:10.21468/SciPostPhys.7.4.056

Title: Exceptional Chern-Simons-Matter dualities

Journal Article · Mon Oct 28 00:00:00 EDT 2019 · SciPost Physics

DOI:https://doi.org/10.21468/SciPostPhys.7.4.056· OSTI ID:1572130

Cordova, Clay ^[1]; Hsin, Po-Shen ^[2]; Ohmori, Kantaro ^[1]

Institute for Advanced Study, Princeton University
Walter Burke Institute for Theoretical Physics

We use conformal embeddings involving exceptional affine Kac-Moody algebras to derive new dualities of three-dimensional topological field theories. These generalize the familiar level-rank duality of Chern-Simons theories based on classical gauge groups to the setting of exceptional gauge groups. For instance, one duality sequence we discuss is $(E_{N})_{1} \leftrightarrow S U (9 - N)_{- 1}$ . Others such as $S O (3)_{8} \leftrightarrow P S U (3)_{- 6},$ are dualities among theories with classical gauge groups that arise dueto their embedding into an exceptional chiral algebra. We apply these equivalences between topological field theories to conjecture new boson-boson Chern-Simons-matter dualities. We also use them to determine candidate phase diagrams of time-reversal invariant $G_{2}$ gauge theory coupled to either an adjoint fermion, or two fundamental fermions.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States); Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation

Grant/Contract Number:: SC0011632; SC0009988; PHY-1606531

OSTI ID:: 1572130

Alternate ID(s):: OSTI ID: 1599380

Journal Information:: SciPost Physics, Journal Name: SciPost Physics Vol. 7 Journal Issue: 4; ISSN 2542-4653

Publisher:: SciPost FoundationCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 20 works

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