Gauge-invariant observables, gravitational dressings, and holography in AdS

Giddings, Steven B.; Kinsella, Alex

doi:10.1007/JHEP11(2018)074

Title: Gauge-invariant observables, gravitational dressings, and holography in AdS

Journal Article · 11 November 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP11(2018)074 · OSTI ID:1600753

Giddings, Steven B. ^[1]; Kinsella, Alex ^[2]

Univ. of California, Santa Barbara, CA (United States); University of California, Santa Barbara
Univ. of California, Santa Barbara, CA (United States)

This paper explores construction of gauge (diffeomorphism)-invariant observables in anti de Sitter (AdS) space and the related question of how to find a "holographic map" providing a quantum equivalence to a boundary theory. Observables are constructed perturbatively to leading order in the gravitational coupling by gravitationally dressing local field theory operators in order to solve the gravitational constraints. Many such dressings are allowed and two are explicitly examined, corresponding to a gravitational line and to a Coulomb field; these also reveal an apparent role for more general boundary conditions than considered previously. The observables obey a nonlocal algebra, and we derive explicit expressions for the boundary generators of the SO(D-1,2) AdS isometries that act on them. We examine arguments that gravity {\it explains} holography through the role of such a boundary Hamiltonian. Our leading-order gravitational construction reveals some questions regarding how these arguments work, and indeed construction of such a holographic map appears to require solution of the non-perturbative generalization of the bulk constraint equations.

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Research Organization:: Univ. of California, Santa Barbara, CA (United States)

Sponsoring Organization:: Foundational Questions Institute; National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011702

OSTI ID:: 1600753

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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