Gauge and supersymmetry invariance of N=2 boundary Chern–Simons theory

Faizal, Mir; Luo, Yuan; Smith, Douglas J; Tan, Meng-Chwan; Zhao, Qin

doi:10.1016/j.nuclphysb.2016.11.020

Gauge and supersymmetry invariance of N=2 boundary Chern–Simons theory

Faizal, Mir; Luo, Yuan; Smith, Douglas J; Tan, Meng-Chwan; Zhao, Qin

Authors

Mir Faizal

Yuan Luo

Professor Douglas Smith douglas.smith@durham.ac.uk
Head Of Department

Meng-Chwan Tan

Qin Zhao

Abstract

In this paper, we study the restoration of gauge symmetry and up to half the supersymmetry (N=(2,0) or N=(1,1) in two dimensions) for N=2 non-Abelian Chern–Simons theories in the presence of a boundary. We describe the boundary action which is a supersymmetric WZW model coupled to the bulk Chern–Simons theory. Unlike the N=1 case, higher supersymmetry (N=(2,0)) will endow the group manifold of the WZW model with a complex structure. Therefore, the N=(2,0) WZW model in our paper is constructed via a coset space Gc/G, where G is the same as the gauge group in the Chern–Simons action.

Citation

Faizal, M., Luo, Y., Smith, D. J., Tan, M., & Zhao, Q. (2017). Gauge and supersymmetry invariance of N=2 boundary Chern–Simons theory. Nuclear Physics B, 914, 577-598. https://doi.org/10.1016/j.nuclphysb.2016.11.020

Journal Article Type	Article
Acceptance Date	Nov 25, 2016
Online Publication Date	Nov 28, 2016
Publication Date	Jan 1, 2017
Deposit Date	Dec 1, 2016
Publicly Available Date	Dec 15, 2016
Journal	Nuclear Physics B
Print ISSN	0550-3213
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	914
Pages	577-598
DOI	https://doi.org/10.1016/j.nuclphysb.2016.11.020

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Copyright Statement
© 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/).