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arXiv · 2006.04792

Maximally Supersymmetric RG Flows in 4D and Integrability

Joao Caetano·Wolfger Peelaers·Leonardo Rastelli
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Abstract

We revisit the leading irrelevant deformation of $\mathcal{N}=4$ Super Yang-Mills theory that preserves sixteen supercharges. We consider the deformed theory on $S^3 \times \mathbb{R}$. We are able to write a closed form expression of the classical action thanks to a formalism that realizes eight supercharges off shell. We then investigate integrability of the spectral problem, by studying the spin-chain Hamiltonian in planar perturbation theory. While there are some structural indications that a suitably defined deformation might preserve integrability, we are unable to settle this question by our two-loop calculation; indeed up to this order we recover the integrable Hamiltonian of undeformed $\mathcal{N}=4$ SYM due to accidental symmetry enhancement. We also comment on the holographic interpretation of the theory.

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Joao Caetano, Wolfger Peelaers, Leonardo Rastelli. 2020-06-08. Maximally Supersymmetric RG Flows in 4D and Integrability. https://doi.org/10.1007/jhep12(2021)119

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