Comments on s-rule violating configurations in field theory

We explicitly construct a configuration of N=4N=4 supersymmetry Yang–Mills theory with gauge group U(N)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>1N>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.