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Quantum BMS transformations in conformally flat space-times and holography

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arxiv 2008.05483 v2 pith:V7K2H272 submitted 2020-08-12 hep-th gr-qc

Laura Donnay , Gaston Giribet , Felipe Rosso This is my paper · ORCID
classification hep-thgr-qc
keywords quantumalgebrachargesflatkillingobtainedresultstimes
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abstract

We define and study asymptotic Killing and conformal Killing vectors in $d$-dimensional Minkowski, (A)dS, $\mathbb{R}\times S^{d-1}$ and ${\rm AdS}_2\times S^{d-2}$. 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories

    hep-th 2026-07 conditional novelty 7.0 of 10

    Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.

  2. Enhanced Conformal $BMS_3$ Symmetries

    hep-th 2024-12 conditional novelty 7.0 of 10

    A boundary-condition analysis of extended conformal gravity in 3D yields a new nonlinear W(2,2,2,2,1,1,1) asymptotic symmetry algebra whose central charges are fixed by the Virasoro central charge.

  3. Superdilations at Schwarzschild null infinity

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Superdilations at Schwarzschild null infinity extend the BMS algebra, but the derived charge and redshift are controlled by free, unconstrained parameters.

  4. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

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