Comments on s-rule violating configurations in field theory

Abstract

We explicitly construct a configuration of $\mathcal{N}=4$ 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 $N(N^2-1)g_{YM4}^{-2}{L}^{-3}$.

10 pages, 2 figures

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