Holography for stress-energy tensor flows
High Energy Physics - Theory
2025-10-28 v3
Abstract
We study the holographic description for general stress-energy tensor deformations in arbitrary dimensions using the metric flow approach. Mixed boundary conditions corresponding to these deformations emerge from solutions to the metric flow equations. To test this proposal, we analyze planar anti-de Sitter black holes with such boundary conditions and find that the deformed energies satisfy flow equations consistent with the field theory interpretation. We further derive the commuting condition for stress-energy tensor deformations and extend the mixed boundary condition description to accommodate families of commuting deformations.
Cite
@article{arxiv.2508.12275,
title = {Holography for stress-energy tensor flows},
author = {Xi-Yang Ran and Feng Hao and Hao Ouyang},
journal= {arXiv preprint arXiv:2508.12275},
year = {2025}
}
Comments
10 pages, no figure; v3: minor changes, version published in Phys. Rev. D