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arXiv · 2209.03065

Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics

Rohan R. Poojary
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Abstract

We study the near horizon 2d gravity theory which captures the near extremal thermodynamics of BTZ with excess mass $\delta M$ and excess angular momentum $\delta J =\mathcal{L}\, \delta M$ over extremality. We find that the Jackiw-Teitelboim theory is able to capture such departures from extremality with an additional parameter $\mathcal{L}$ relating it to the near extremal BTZ configuration. We are able to show this by obtaining new simultaneous near horizon near extremal limits of the BTZ geometry parametrized by $\mathcal{L}$. The resulting Jackiw-Teitelboim theory captures the near extremal thermodynamics of such BTZ geometries provided we identify the temperature $T^{(2)}_H$ of the $AdS_2$ geometry in the Jackiw-Teitelboim theory to be $T^{(2)}_H=T_H/(1-\mu\,\mathcal{L})$ where $T_H$ is the BTZ temperature and $\mu$ its chemical potential with $\mu\,\mathcal{L}<1$.

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Rohan R. Poojary. 2022-09-07. Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics. https://doi.org/10.1103/physrevd.107.066019

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