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 S3 × 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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Caetano, J., Peelaers, W. & Rastelli, L. Maximally supersymmetric RG flows in 4D and integrability. J. High Energ. Phys. 2021, 119 (2021). https://doi.org/10.1007/JHEP12(2021)119
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DOI: https://doi.org/10.1007/JHEP12(2021)119