2D $F(R)$ gravity and AdS$_2$/CFT$_1$ correspondence

S. Nojiri; S. D. Odintsov

doi:10.1209/0295-5075/ac8ba0

2D $F(R)$ gravity and AdS$_2$/CFT$_1$ correspondence

High Energy Physics - Theory 2022-09-14 v1 General Relativity and Quantum Cosmology

Authors: S. Nojiri , S. D. Odintsov

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Abstract

We studied the canonical structure of 2D $F(R)$ gravity. Its equivalence with Jackiw-Teitelboim gravity is demonstrated when no matter presents. Then, due to AdS $_2$ /CFT $_1$ correspondence, such $F(R)$ gravity is equivalent to the Sachdev-Ye--Kitaev models. The singular $D\to 2$ limit of $F(R)$ gravity is also studied. It is shown that in such a limit AdS $_2$ /CFT $_1$ correspondence is not realized.

Keywords

2d f(r) gravity jackiw-teitelboim gravity ads2/cft1 correspondence sachdev-ye-kitaev model canonical structure dimensional limit

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@article{arxiv.2208.10146,
  title  = {2D $F(R)$ gravity and AdS$_2$/CFT$_1$ correspondence},
  author = {S. Nojiri and S. D. Odintsov},
  journal= {arXiv preprint arXiv:2208.10146},
  year   = {2022}
}

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2D $F(R)$ gravity and AdS$_2$/CFT$_1$ correspondence

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