Nonintegrability of NS5-like Interface in $\mathcal{N}=4$ Supersymmetric Yang-Mills

Abstract

Four-dimensional $\mathcal{N}=4$ super Yang-Mills theory admits interfaces that preserve integrability of the theory. It was shown that addition of fundamental hypermultiplets living on a co-dimension one defect is an example of such an interface. We consider NS5 interface as a different example of half-BPS defect in this theory and prove that integrability is generically broken already at one loop. We show that one-loop dilatation operator acting on boundary local operators does not lead to an integrable spin chain. The same is true also for D5-like and NS5-like boundaries.

References in corpus (1)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory

Cited by in corpus (2)

• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• The dilatation operator for defect conformal N=4 SYM