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arXiv · 2311.16796

All $S$ invariant gluon OPEs on the celestial sphere

Shamik Banerjee·Raju Mandal·Sagnik Misra·Sudhakar Panda·Partha Paul
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Abstract

$S$ algebra is an infinite dimensional Lie algebra which is known to be the symmetry algebra of some gauge theories. It is a "coloured version" of the $w_{1+\infty}$. In this paper we write down all possible $S$ invariant (celestial) OPEs between two positive helicity outgoing gluons and also find the Knizhnik-Zamolodchikov type null states for these theories. Our analysis hints at the existence of an infinite number of $S$ invariant gauge theories which include the (tree-level) MHV-sector and the self-dual Yang-Mills theory.

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Shamik Banerjee, Raju Mandal, Sagnik Misra, Sudhakar Panda, Partha Paul. 2023-11-28. All $S$ invariant gluon OPEs on the celestial sphere. https://arxiv.org/abs/2311.16796

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