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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

Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu This is my paper · ORCID
classification hep-thgr-qc
keywords celestialconformalfieldoperatorsoftsupertranslationsccftenergy-momentum
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abstract

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 3 Pith papers

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

  1. Conformal blocks from celestial graviton amplitudes

    hep-th 2025-01 conditional novelty 7.0 of 10

    The authors construct a single-valued celestial four-graviton correlator from the shadow transform, decompose it into conformal blocks in all channels, and show it is the double copy of the corresponding gluon object.

  2. Symmetries of the Celestial Supersphere

    hep-th 2024-12 conditional novelty 7.0 of 10

    The celestial sphere is extended to a supermanifold C^{1|N}, yielding universal supersymmetric extensions of the BMS and w_{1+8} symmetry algebras of flat-space quantum gravity.

  3. Celestial Quantum Error Correction II: From Qudits to Celestial CFT

    hep-th 2024-12 conditional novelty 6.0 of 10

    A GKP-style qudit code on a chain embedded in Klein spacetime is shown to flow, in the continuum limit, to a celestial CFT whose logical states carry quantized supertranslation hair protected from soft graviton errors.

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