Celestial OPE in self-dual gravity

Banerjee, S and Kulkarni, H and Paul, P (2024) Celestial OPE in self-dual gravity. In: Physical Review D, 109 (8).

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Abstract

In this paper we compute the celestial operator product expansion between two outgoing positive helicity gravitons in the self-dual gravity. It has been shown that the self-dual gravity is a w1+�-invariant theory whose scattering amplitudes are one-loop exact with all positive helicity gravitons. Celestial w1+� symmetry is generated by an infinite tower of (conformally soft) gravitons which are holomorphic conserved currents. We find that at any given order only the descendants of a finite number of w1+� currents contribute to the operator product expansion. This is somewhat surprising but, this is consistent with our earlier analysis based on w1+� symmetry alone. The phenomenon of truncation also suggests that in some (unknown) formulation the spectrum of conformal dimensions in the dual two dimensional theory can be bounded from below. © 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Item Type:	Journal Article
Publication:	Physical Review D
Publisher:	American Physical Society
Additional Information:	The copyright for this article belongs to American Physical Society.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	10 Jul 2024 06:56
Last Modified:	10 Jul 2024 06:56
URI:	http://eprints.iisc.ac.in/id/eprint/84779

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