Factorised scattering and (non)integrability for marginally deformed $Ad{S}_5/CF{T}_4$

Abstract

We study non-SUSY CFTs that are marginal deformations of $\mathcal{N}=2$ SCFTs in 4d. We explore the fate of integrability and/or non-integrability in these CFTs using the techniques of factorisation of scattering amplitudes in 2d sigma models. We show possibilities for the factorisation of scattering amplitudes in the absence of flavour D6 branes which rules out non-integrability in the dual non-SUSY CFTs.

v2, revised version, To appear in Physics Letters B

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