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

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

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
• Public URL: https://durham-repository.worktribe.com/output/1391726