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Gravitational perturbations as $T\bar{T}$-deformations in 2D dilaton gravity systems

High Energy Physics - Theory 2019-07-04 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

We consider gravitational perturbations of 2D dilaton gravity systems and show that these can be recast into TTˉT\bar{T}-deformations (at least) under certain conditions, where TT means the energy-momentum tensor of the matter field coupled to a dilaton gravity. In particular, the class of theories under this condition includes a Jackiw-Teitelboim (JT) theory with a negative cosmological constant including conformal matter fields. This is a generalization of the preceding work on the flat-space JT gravity by S. Dubovsky, V. Gorbenko and M. Mirbabayi [arXiv:1706.06604].

Keywords

Cite

@article{arxiv.1906.03865,
  title  = {Gravitational perturbations as $T\bar{T}$-deformations in 2D dilaton gravity systems},
  author = {Takaaki Ishii and Suguru Okumura and Jun-ichi Sakamoto and Kentaroh Yoshida},
  journal= {arXiv preprint arXiv:1906.03865},
  year   = {2019}
}

Comments

24 pages, references added