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

Faizal, Mir and Luo, Yuan and Smith, Douglas J. and Tan, Meng-Chwan and Zhao, Qin (2017) 'Gauge and supersymmetry invariance of N=2 boundary Chern–Simons theory.', Nuclear physics B., 914 . pp. 577-598.


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.

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Publisher statement:© 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (
Date accepted:25 November 2016
Date deposited:15 December 2016
Date of first online publication:28 November 2016
Date first made open access:15 December 2016

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