All S invariant gluon OPEs on the celestial sphere

2023/11/28 by Shamik Banerjee, Raju Mandal, Banerjee, Shamik +7
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2311.16796

openalex publication_date 2023/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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+∞. 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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