Comments on s-rule violating configurations in field theory

Abstract

We explicitly construct a configuration of N=4 supersymmetry Yang–Mills theory with gauge group U(N) on an interval on length L with a D5-like boundary condition on one end and an NS5-like boundary condition on the other. For N>1, such a configuration violates the s-rule and is non-supersymmetric. We compute the energy relative to the BPS bound of these configurations and find that it is proportional to N(N2−1)gYM4−2L−3.