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Holographic dictionary from bulk reduction

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arxiv 2401.11223 v1 pith:Y3ZKJXL4 submitted 2024-01-20 hep-th

classification hep-th
keywords bulkalgebracentralchargedictionaryfieldfundamentalholographic
verification ladder T0 review T1 audit T2 compute T3 formal

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We propose a holographic dictionary which comes from reducing the bulk theories in an asymptotically flat spacetime to its null infinity. A general boundary theory is characterized by a fundamental field, an infinite tower of descendant fields, constraints among the fundamental field and its descendants as well as a symplectic form. For the Carrollian diffeomorphisms, we can construct the corresponding Hamiltonians which are also the fluxes from the bulk, and whose quantum operators realize this algebra with a divergent central charge. This central charge reflects the propagating degrees of freedom and can be regularized. For the spinning theory, we need a helicity flux operator to close the algebra which relates to the duality transformation.

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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. Carrollian Dictionary for Massive Particles at Null Infinity

    hep-th 2026-08 conditional novelty 7.0 of 10

    Massive one-particle states are encoded on null infinity by projecting their momenta onto null frames, giving an isometric map into the complete Carrollian representation.

  2. Quantum flux operators in the fermionic theory and their supersymmetric extension

    hep-th 2024-12 conditional novelty 6.0 of 10

    The paper derives fermionic quantum flux operators at null infinity, finds an anomalous helicity flux from superrotation commutators, and shows the resulting algebra reduces to super-BMS and R-extended super-Poincaré ...

  3. Covariant variation and its applications

    hep-th 2026-07 conditional novelty 5.0 of 10

    A metric-compatible covariant variation of tensors has a non-closure anomaly that reproduces electromagnetic helicity flux under superrotations and generalizes to higher-spin and p-form radiative data.

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