Title: Exceptional Chern-Simons-Matter dualities

Abstract

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 SU(9-N)_{-1} $(E_N{)}_1\leftrightarrow SU(9-N{)}_{-1}$ . Others such as SO(3)_{8}\leftrightarrow PSU(3)_{-6}, $SO(3{)}_8\leftrightarrow PSU(3{)}_{-6},$ are dualities among theories with classical gauge groups that arise due to 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} $G_2$ gauge theory coupled to either an adjoint fermion, or two fundamental fermions.

Authors:

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

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+ Show Author Affiliations

1. Institute for Advanced Study, Princeton University
2. Walter Burke Institute for Theoretical Physics

Publication Date:

2019-10-28

Sponsoring Org.:

USDOE

OSTI Identifier:

1572130

Grant/Contract Number:  

SC0009988; SC0011632

Resource Type:

Published Article

Journal Name:

SciPost Physics Proceedings

Additional Journal Information:

Journal Name: SciPost Physics Proceedings Journal Volume: 7 Journal Issue: 4; Journal ID: ISSN 2542-4653

Publisher:

Stichting SciPost

Country of Publication:

Netherlands

Language:

English