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We generalize the half-BPS Janus configuration of four-dimensional N=4 superYang-Mills theory to allow the theta-angle, as well as the gauge coupling, tovary with position. We show that the existence of this generalization isclosely related to the existence of novel three-dimensional Chern-Simonstheories with N=4 supersymmetry. Another closely related problem, which we alsoelucidate, is the D3-NS5 system in the presence of a four-dimensionaltheta-angle.

Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory