BMS symmetry of celestial OPE
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 giv...
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doaj-b90272129b2c46458ed14645481ac7ab2020-11-25T03:54:25ZengSpringerOpenJournal of High Energy Physics1029-84792020-04-012020412810.1007/JHEP04(2020)130BMS symmetry of celestial OPEShamik Banerjee0Sudip Ghosh1Riccardo Gonzo2Institute of PhysicsOkinawa Institute of Science and TechnologySchool of Mathematics and Hamilton Mathematics Institute, Trinity College DublinAbstract 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.http://link.springer.com/article/10.1007/JHEP04(2020)130Gauge-gravity correspondenceModels of Quantum GravitySpace-Time Symmetries |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Shamik Banerjee Sudip Ghosh Riccardo Gonzo |
spellingShingle |
Shamik Banerjee Sudip Ghosh Riccardo Gonzo BMS symmetry of celestial OPE Journal of High Energy Physics Gauge-gravity correspondence Models of Quantum Gravity Space-Time Symmetries |
author_facet |
Shamik Banerjee Sudip Ghosh Riccardo Gonzo |
author_sort |
Shamik Banerjee |
title |
BMS symmetry of celestial OPE |
title_short |
BMS symmetry of celestial OPE |
title_full |
BMS symmetry of celestial OPE |
title_fullStr |
BMS symmetry of celestial OPE |
title_full_unstemmed |
BMS symmetry of celestial OPE |
title_sort |
bms symmetry of celestial ope |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-04-01 |
description |
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. |
topic |
Gauge-gravity correspondence Models of Quantum Gravity Space-Time Symmetries |
url |
http://link.springer.com/article/10.1007/JHEP04(2020)130 |
work_keys_str_mv |
AT shamikbanerjee bmssymmetryofcelestialope AT sudipghosh bmssymmetryofcelestialope AT riccardogonzo bmssymmetryofcelestialope |
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1724473765121753088 |