| Issue |
EPL
Volume 139, Number 6, September 2022
|
|
|---|---|---|
| Article Number | 69001 | |
| Number of page(s) | 4 | |
| Section | Gravitation, cosmology and astrophysics | |
| DOI | https://doi.org/10.1209/0295-5075/ac8ba0 | |
| Published online | 02 September 2022 | |
2D F(R) gravity and AdS2/CFT1correspondence
1 Department of Physics, Nagoya University - Nagoya 464-8602, Japan
2 Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University Nagoya 464-8602, Japan
3 ICREA - Passeig Luis Companys, 23, 08010 Barcelona, Spain
4 Institute of Space Sciences (ICE, CSIC) - C. Can Magrans s/n, 08193 Barcelona, Spain
(a) nojiri@gravity.phys.nagoya-u.ac.jp (corresponding author)
(b) odintsov@ice.cat
Received: 27 July 2022
Accepted: 22 August 2022
We studied the canonical structure of 2D F(R) gravity. Its equivalence with Jackiw-Teitelboim gravity is demonstrated when no matter is present. Then, due to AdS2/CFT1 correspondence, such F(R) gravity is equivalent to the Sachdev-Ye-Kitaev models. The singular 
limit of F(R) gravity is also studied. It is shown that in such a limit AdS2/CFT1 correspondence is not realized.
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