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  • Letter
  • Open Access

Holography for stress-energy tensor flows

Xi-Yang Ran*, Feng Hao†, and Hao Ouyang‡

  • Center for Theoretical Physics and College of Physics, Jilin University, Changchun 130012, China

  • *Contact author: ranxy23@mails.jlu.edu.cn
  • †Contact author: haofeng22@mails.jlu.edu.cn
  • ‡Contact author: haoouyang@jlu.edu.cn
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Phys. Rev. D 112, L081905 – Published 23 October, 2025

DOI: https://doi.org/10.1103/v2g6-l983

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.

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Phys. Rev. D 112, L081905– Published 23 October, 2025
  • Received 29 August 2025
  • Accepted 10 October 2025
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