23010110

On quantum corrections to the celestial operator product in gravity

APA

Bittleston, R. (2023). On quantum corrections to the celestial operator product in gravity. Perimeter Institute for Theoretical Physics. http://pirsa.org/23010110

MLA

Bittleston, Roland. On quantum corrections to the celestial operator product in gravity. Perimeter Institute for Theoretical Physics, Jan. 24, 2023, http://pirsa.org/23010110

BibTex

          @misc{ scitalks_23010110,
            doi = {},
            url = {http://pirsa.org/23010110},
            author = {Bittleston, Roland},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {On quantum corrections to the celestial operator product in gravity},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2023},
            month = {jan},
            note = {Talk #23010110 see, \url{https://scitalks.ca}}
          }
          

Roland Bittleston Perimeter Institute for Theoretical Physics

Source Repository PIRSA
Talk Type Scientific Series

Abstract

The question of whether the holomorphic collinear singularities of graviton amplitudes define a consistent chiral algebra has garnered much recent attention. I will discuss a version of this question for infinitesimal perturbations around the self-dual sector of 4d Einstein gravity. The singularities of tree amplitudes in such perturbations do form a consistent chiral algebra. However, at loop level new poles are generated, the simplest of which are described the 1-loop effective graviton vertex. These quantum corrections violate associativity of the operator product. I will argue that this failure can be traced to an anomaly in the twistor uplift of self-dual gravity. Associativity can be restored by coupling to an unusual 4th-order gravitational axion, which cancels the anomaly by a Green-Schwarz mechanism. Alternatively, the anomaly vanishes in certain theories of self-dual gravity coupled to matter, including in self-dual supergravity.

Zoom link:  https://pitp.zoom.us/j/91979544537?pwd=Ykw4Q3lRK2ZicVhCMDhlNUxFaHhlUT09