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.