Holographic dictionary from bulk reduction

Fuente: arXiv
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Autores principales: Liu, Wen-Bin, Long, Jiang
Formato: Preprint
Publicado: 2024
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author Liu, Wen-Bin
Long, Jiang
author_facet Liu, Wen-Bin
Long, Jiang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_11223
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Holographic dictionary from bulk reduction
Liu, Wen-Bin
Long, Jiang
High Energy Physics - Theory
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.
title Holographic dictionary from bulk reduction
topic High Energy Physics - Theory
url https://arxiv.org/abs/2401.11223