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AdS3 Freelance Holography, A Detailed Analysis

2025/10/12 by M. M. Sheikh-Jabbari, V. Taghiloo, Sheikh-Jabbari, M. M. +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2510.10692

openalex publication_date 2025/10/12 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

Freelance holography program is an extension of the gauge/gravity correspondence in which the boundary theory can reside on any timelike codimension-one surface in AdS space, and the boundary conditions on the bulk fields can be chosen arbitrarily. Freelance holography provides the framework for a systematic study of various boundary conditions and associated bulk geometries. In this work, we analyze in detail the AdS3 freelance holography. One can explicitly solve for the bulk AdS3 Einstein gravity equations of motion. For generic boundary conditions, the solutions are described by two arbitrary functions of one variable. We study holographic renormalization group (RG) flows, the interpolation between different boundary conditions at different boundaries and associated surface charges and their algebras.

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