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We use holography to study (3+1)-dimensional N=4 supersymmetric SU(Nc) Yang-Mills theory (SYM) in the large-Nc and large coupling limits, with a (2+1)-dimensional interface where the Yang-Mills coupling or theta-angle changes value, or "jumps." We consider interfaces that either break all supersymmetry or that preserve half of the N=4 supersymmetry thanks to certain operators localized to the interface.
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