BMS symmetry of celestial OPE

• Main Authors: Shamik Banerjee, Sudip Ghosh, Riccardo Gonzo
• Format: Article
• Language: English
• Published: SpringerOpen 2020-04-01
• Series: Journal of High Energy Physics
• Subjects: Gauge-gravity correspondence; Models of Quantum Gravity; Space-Time Symmetries
• Online Access: http://link.springer.com/article/10.1007/JHEP04(2020)130

Abstract In this paper we study the BMS symmetry of the celestial OPE of two positive helicity gravitons in Einstein theory in four dimensions. The celestial OPE is obtained by Mellin transforming the scattering amplitude in the (holomorphic) collinear limit. The collinear limit at leading order gives the singular term of the celestial OPE. We compute the first subleading correction to the OPE by analysing the four graviton scattering amplitude directly in Mellin space. The subleading term can be written as a linear combination of BMS descendants with the OPE coefficients determined by BMS algebra and the coefficient of the leading term in the OPE. This can be done by defining a suitable BMS primary state. We find that among the descendants, which appear at the first subleading order, there is one which is created by holomorphic supertranslation with simple pole on the celestial sphere.