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An infinite family of w 1+∞ invariant theories on the celestial sphere

Banerjee, S and Kulkarni, H and Paul, P (2023) An infinite family of w 1+∞ invariant theories on the celestial sphere. In: Journal of High Energy Physics, 2023 (5).

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Official URL: https://doi.org/10.1007/JHEP05(2023)063


In this note we determine the graviton-graviton OPE and the null states in any w 1+∞ symmetric theory on the celestial sphere. Our analysis shows that there exists a discrete infinite family of such theories. The MHV-sector and the quantum self dual gravity are two members of this infinite family. Although the Bulk Lagrangian description of this family of theories is not currently known to us, the graviton scattering amplitudes in these theories are heavily constrained due to the existence of null states. Presumably they are exactly solvable in the same way as the minimal models of 2-D CFT.

Item Type: Journal Article
Publication: Journal of High Energy Physics
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to Springer Science and Business Media Deutschland GmbH.
Keywords: Gauge-Gravity Correspondence; Models of Quantum Gravity; Scattering Amplitudes; Space-Time Symmetries
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 15 Jun 2023 08:30
Last Modified: 15 Jun 2023 08:30
URI: https://eprints.iisc.ac.in/id/eprint/81947

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