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Holographic Action Principle for $T\bar{T}$-deformation

High Energy Physics - Theory 2024-07-30 v2 Statistical Mechanics General Relativity and Quantum Cosmology Differential Geometry

Abstract

We explore the action principle for the holographic TTˉT\bar{T}-deformation. We develop a scheme in which one can holographically reproduce the action of the Liouville theory deformed by TTˉT\bar{T}-insertion. This scheme necessitates considering the bending energy of the finite cut-off surface. Following our proposal, one observes a perfect match between the actions of deformed theory on the field theory and gravity sides.

Keywords

Cite

@article{arxiv.2407.16391,
  title  = {Holographic Action Principle for $T\bar{T}$-deformation},
  author = {Amin Faraji Astaneh},
  journal= {arXiv preprint arXiv:2407.16391},
  year   = {2024}
}

Comments

14 pages, Refs added