Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence

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Hauptverfasser: Parvizi, A., Sheikh-Jabbari, M. M., Taghiloo, V.
Format: Preprint
Veröffentlicht: 2025
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author Parvizi, A.
Sheikh-Jabbari, M. M.
Taghiloo, V.
author_facet Parvizi, A.
Sheikh-Jabbari, M. M.
Taghiloo, V.
contents We continue developing the freelance holography program, formulating gauge/gravity correspondence where the gravity side is formulated on a space bounded by a generic timelike codimension-one surface inside AdS and arbitrary boundary conditions are imposed on the gravity fields on the surface. Our analysis is performed within the Covariant Phase Space Formalism (CPSF). We discuss how a given boundary condition on the bulk fields on a generic boundary evolves as we move the boundary to another boundary inside AdS and work out how this evolution is encoded in deformations of the holographic boundary theory. Our analyses here extend the extensively studied T$\bar{\text{T}}$-deformation by relaxing the boundary conditions at asymptotic AdS or at the cutoff surface to be any arbitrary one (besides Dirichlet). We discuss some of the implications of our general freelance holography setting.
format Preprint
id arxiv_https___arxiv_org_abs_2503_09372
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
Parvizi, A.
Sheikh-Jabbari, M. M.
Taghiloo, V.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We continue developing the freelance holography program, formulating gauge/gravity correspondence where the gravity side is formulated on a space bounded by a generic timelike codimension-one surface inside AdS and arbitrary boundary conditions are imposed on the gravity fields on the surface. Our analysis is performed within the Covariant Phase Space Formalism (CPSF). We discuss how a given boundary condition on the bulk fields on a generic boundary evolves as we move the boundary to another boundary inside AdS and work out how this evolution is encoded in deformations of the holographic boundary theory. Our analyses here extend the extensively studied T$\bar{\text{T}}$-deformation by relaxing the boundary conditions at asymptotic AdS or at the cutoff surface to be any arbitrary one (besides Dirichlet). We discuss some of the implications of our general freelance holography setting.
title Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2503.09372