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Extended BMS Algebra of Celestial CFT

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arxiv 1912.10973 v1 pith:IYSOSAZ7 submitted 2019-12-23 hep-th gr-qc

Extended BMS Algebra of Celestial CFT

classification hep-th gr-qc
keywords celestialconformalfieldoperatorsoftsupertranslationsccftenergy-momentum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We elaborate on the proposal of flat holography in which four-dimensional physics is encoded in two-dimensional celestial conformal field theory (CCFT). The symmetry underlying CCFT is the extended BMS symmetry of (asymptotically) flat spacetime. We use soft and collinear theorems of Einstein-Yang-Mills theory to derive the OPEs of BMS field operators generating superrotations and supertranslations. The energy-momentum tensor, given by a shadow transform of a soft graviton operator, implements superrotations in the Virasoro subalgebra of $\mathfrak{bms_4}$. Supertranslations can be obtained from a single translation generator along the light-cone direction by commuting it with the energy-momentum tensor. This operator also originates from a soft graviton and generates a flow of conformal dimensions. All supertranslations can be assembled into a single primary conformal field operator on celestial sphere.

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Cited by 4 Pith papers

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

  1. Mixed-helicity bracket of celestial symmetries

    hep-th 2026-04 unverdicted novelty 6.0

    Restricting one helicity to the wedge sector and introducing shadow charges yields closed mixed-helicity algebras for all spins in gravity and gauge theory, plus dual mass BMS extensions and non-vanishing electromagne...

  2. Carrollian Perspective on Celestial Holography

    hep-th 2022-02 unverdicted novelty 6.0

    A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.

  3. Topics in Celestial holography: A bottom-up perspective

    hep-th 2026-06 unverdicted novelty 1.0

    Review of symmetries, celestial CFT, twistor interplay, and AdS/CFT connections in the search for a celestial dual to flat-spacetime quantum gravity.

  4. Topics in Celestial holography: A bottom-up perspective

    hep-th 2026-06 unverdicted

    A review of symmetries, celestial CFT, twistor theory interplay, and AdS/CFT connections in the bottom-up search for a celestial dual to flat-space quantum gravity.