English

All $S$ invariant gluon OPEs on the celestial sphere

High Energy Physics - Theory 2023-12-07 v2

Abstract

SS 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 w1+w_{1+\infty}. In this paper we write down all possible SS 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 SS invariant gauge theories which include the (tree-level) MHV-sector and the self-dual Yang-Mills theory.

Keywords

Cite

@article{arxiv.2311.16796,
  title  = {All $S$ invariant gluon OPEs on the celestial sphere},
  author = {Shamik Banerjee and Raju Mandal and Sagnik Misra and Sudhakar Panda and Partha Paul},
  journal= {arXiv preprint arXiv:2311.16796},
  year   = {2023}
}

Comments

Latex, 16 Pages, References added

R2 v1 2026-06-28T13:34:09.836Z