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

Mir Faizal (Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada; Department of Physics and Astronomy, University of Lethbridge, Lethbridge, Alberta, T1K 3M4, Canada) ; Yuan Luo (Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore) ; Douglas J Smith (Department of Mathematics, Durham University, Durham, DH1 3LE, United Kingdom) ; Meng-Chwan Tan (Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore) ; Qin Zhao (Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore)

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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      "value": "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\u2013Simons theories in the presence of a boundary. We describe the boundary action which is a supersymmetric WZW model coupled to the bulk Chern\u2013Simons 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\u2013Simons action."
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Published on:
28 November 2016
Publisher:
Elsevier
Published in:
Nuclear Physics B (2016)

DOI:
https://doi.org/10.1016/j.nuclphysb.2016.11.020
Copyrights:
The Authors
Licence:
CC-BY-3.0

Fulltext files: