Super-spin chains for 6D SCFTs

DOI10.1016/J.NUCLPHYSB.2023.116250zbMATH Open1525.81036arXiv2208.02272OpenAlexW4379744442MaRDI QIDQ6159668

Author name not available (Why is that?)

Publication date: 20 June 2023

Published in: (Search for Journal in Brave)

Abstract: Nearly all 6D superconformal field theories (SCFTs) have a partial tensor branch description in terms of a generalized quiver gauge theory consisting of a long one-dimensional spine of quiver nodes with links given by conformal matter; a strongly coupled generalization of a bifundamental hypermultiplet. For theories obtained from M5-branes probing an ADE singularity, this was recently leveraged to extract a protected large R-charge subsector of operators, with operator mixing controlled at leading order in an inverse large R-charge expansion by an integrable spin $s$ Heisenberg spin chain, where $s$ is determined by the $mathfraksu(2{)}_R$ R-symmetry representation of the conformal matter operator. In this work, we show that this same structure extends to the full superconformal algebra $mathfrakosp(6,2|1)$. In particular, we determine the corresponding Bethe ansatz equations which govern this super-spin chain, as well as distinguished subsectors which close under operator mixing. Similar considerations extend to 6D little string theories (LSTs) and 4D $mathcalN=2$ SCFTs with the same generalized quiver structures.

Full work available at URL: https://arxiv.org/abs/2208.02272

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