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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

Holographic dictionary from bulk reduction

Wen-Bin Liu , Jiang Long This is my paper
classification hep-th
keywords bulkalgebracentralchargedictionaryfieldfundamentalholographic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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

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

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    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.