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arXiv · 2208.10146

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

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.

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S. Nojiri, S. D. Odintsov. 2022-08-22. 2D $F(R)$ gravity and AdS$_2$/CFT$_1$ correspondence. https://doi.org/10.1209/0295-5075%2Fac8ba0

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