Gauge and supersymmetry invariance of boundary Chern-Simons theory

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• 作者：Mir Faizal^a ; ^b ; ^{f2mir@uwaterloo.ca} ; Yuan Luo^c ; ^{phyluoy@nus.edu.sg} ; Douglas J Smith^d ; ^{douglas.smith@durham.ac.uk} ; Meng-Chwan Tan^c ; ^{mctan@nus.edu.sg} ; Qin Zhao^c ; ^{zhaoqin@u.nus.edu}
• 刊名：Nuclear Physics B
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：914
• 期：Complete
• 页码：577-598
• 全文大小：366 K
• 卷排序：914

文摘

In this paper, we study the restoration of gauge symmetry and up to half the supersymmetry (N=(2,0)N=(2,0) or N=(1,1)N=(1,1) in two dimensions) for N=2N=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=1N=1 case, higher supersymmetry (N=(2,0)N=(2,0)) will endow the group manifold of the WZW model with a complex structure. Therefore, the N=(2,0)N=(2,0) WZW model in our paper is constructed via a coset space Gc/GGc/G, where G is the same as the gauge group in the Chern–Simons action.