Abstract
It is shown that the tree-level S-matrix for quantum gravity in four-dimensional Minkowski space has a Virasoro symmetry which acts on the conformal sphere at null infinity.
Highlights
Our story begins with a conjecture of Barnich, Troessaert and Banks (BTB) [9,10,11,12]
It is shown that the tree-level S-matrix for quantum gravity in four-dimensional Minkowski space has a Virasoro symmetry which acts on the conformal sphere at null infinity
BMS+ has an SL(2, C) Lorentz subgroup generated by the six global conformal Killing vectors (CKVs) on the S2 at I+
Summary
The I− coordinate z in (2.4) is antipodally related to the I+ coordinate z in (2.1) in the sense that, for flat Minkowski space, a null geodesic begins and ends at the same value of z. Put another way, in the conformal compactifcation of asymptotically flat spaces, all of I is generated by null geodesics which run through spatial infinity i0. The extended BMS+ group has been proposed [9,10,11,12] as the asymptotic symmetry group at I+ of gravity on asymptotically flat spacetimes It is generated by vector fields ξ+ that locally preserve the asymptotic form (2.1) of the metric at I+.
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