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

S. D. Odintsov; S. Nojiri

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

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arxiv 2208.10146 v1 pith:52H443C6 submitted 2022-08-22 hep-th gr-qc

S. Nojiri , S. D. Odintsov This is my paper · ORCID

classification hep-thgr-qc

keywords gravitycorrespondencelimitstudiedcanonicaldemonstratedequivalenceequivalent

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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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