Quantum BMS transformations in conformally flat space-times and holography

DONNAY, LAURA; ROSSO, FELIPE; GIRIBET, GASTON

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer Science and Business Media Deutschland GmbH

Año: 2020 vol. 2020

1029-8479

We define and study asymptotic Killing and conformal Killing vectors in d-dimensional Minkowski, (A)dS, ℝ × Sd−1 and AdS2× Sd−2. We construct the associated quantum charges for an arbitrary CFT and show they satisfy a closed algebra that includes the BMS as a sub-algebra (i.e. supertranslations and superrotations) plus a novel transformation we call ?superdilations?. We study representations of this algebra in the Hilbert space of the CFT, as well as the action of the finite transformations obtained by exponentiating the charges. In the context of the AdS/CFT correspondence, we propose a bulk holographic description in semi-classical gravity that reproduces the results obtained from CFT computations. We discuss the implications of our results regarding quantum hairs of asymptotically flat (near-)extremal black holes.