We define and study asymptotic Killing and conformal Killing vectors in d-dimensional Minkowski, (A)dS, x Sd-1 and AdS(2)x 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.
Quantum BMS transformations in conformally flat space-times and holography / Donnay, L.; Giribet, G.; Rosso, F.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2020:12(2020), pp. 1-52. [10.1007/jhep12(2020)102]
Quantum BMS transformations in conformally flat space-times and holography
Donnay, L.
;
2020-01-01
Abstract
We define and study asymptotic Killing and conformal Killing vectors in d-dimensional Minkowski, (A)dS, x Sd-1 and AdS(2)x 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
