paper

Comments on s-rule violating configurations in field theory

arXiv:1502.06949 · doi:10.1016/j.physletb.2015.04.028

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 $N (N^{2} - 1) g_{Y M 4}^{- 2} L^{- 3}$ .

10 pages, 2 figures