On thermal holographic RG flows

2025/10/11 by Cáceres, Elena, Krishna, Hare · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2510.09955

Abstract

Holographic Renormalization Group (RG) flows, described by Einstein gravity coupled to matter fields, have been thoroughly explored in the context of vacuum states. In this work, we shift the focus to thermal states. Using the Hamilton-Jacobi formalism for the coupled system, we derive the Ward identity associated with broken dilatation symmetry in thermal correlators and obtain the modified Callan-Symanzik equation for the dual thermal CFT. We then employ the Hamiltonian approach to analyze the black hole interior and comment on the near-singularity behavior from this perspective.

Citations

• Kasner eons in Lovelock black holes
• Kasner eons with matter: holographic excursions to the black hole singularity
• Kasner Epochs, Eras and Eons
• Mixmaster chaos in an AdS black hole interior
• Broken (super) conformal Ward identities at finite temperature
• Imprints of phase transitions on Kasner singularities
• A Note On The Canonical Formalism for Gravity
• Renormalisation Group Flows of Deformed SYK Models
• 3+1 Formalism and Bases of Numerical Relativity
• Large N Field Theories, String Theory and Gravity
• A finite temperature generalization of Zamolodchikov's C-theorem
• Oscillatory approach to a singular point in the relativistic cosmology

Cited by

• Analytical studies on 3D hairy rotating black hole interiors

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