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Published November 18, 2022 | Submitted
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Diffeomorphism Symmetry in Two Dimensions and Celestial Holography

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.

Additional Information

I am grateful to Clifford Cheung for reading a draft of this manuscript and making helpful comments. This work was supported in part by the Walter Burke Institute for Theoretical Physics at Caltech and by U.S. DOE grant DE-SC0011632. It was performed in part at the Aspen Center for Physics, which is supported by NSF grant PHY-1607611.

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Created:
August 20, 2023
Modified:
October 24, 2023