Light-ray Operators and the BMS Algebra
High Energy Physics - Theory
2019-01-02 v1
Abstract
We study light-ray operators constructed from the energy-momentum tensor in -dimensional Lorentzian conformal field theory. These include in particular the average null energy operator. The commutators of parallel light-ray operators on a codimension one light-sheet form an infinite-dimensional algebra. We determine this light-ray algebra and find that the -dimensional (generalized) BMS algebra, including both the supertranslation and the superrotation, is a subalgebra. We verify this algebra in correlation functions of free scalar field theory. We also determine the infinite-dimensional algebra of light-ray operators built from non-abelian spin-one conserved currents.
Cite
@article{arxiv.1810.05706,
title = {Light-ray Operators and the BMS Algebra},
author = {Clay Cordova and Shu-Heng Shao},
journal= {arXiv preprint arXiv:1810.05706},
year = {2019}
}
Comments
25 pages