English

Diffeomorphism Symmetry in Two Dimensions and Celestial Holography

High Energy Physics - Theory 2022-09-27 v2 General Relativity and Quantum Cosmology

Abstract

Two-dimensional diffeomorphism symmetry can be described by an operator algebra extension of the well-known Virasoro algebra description of conformal symmetry. Utilizing this extension, this note explains why the conformal symmetry that appears in celestial holography should not be extended to diffeomorphism symmetry, a possibility that several authors have proposed. The description of the two-dimensional diffeomorphism algebra presented here might be useful for other purposes.

Keywords

Cite

@article{arxiv.2208.13304,
  title  = {Diffeomorphism Symmetry in Two Dimensions and Celestial Holography},
  author = {John H. Schwarz},
  journal= {arXiv preprint arXiv:2208.13304},
  year   = {2022}
}

Comments

9 pages

R2 v1 2026-06-25T02:02:30.590Z