论文标题
Jackiw-teitelboim重力和近超级BTZ热力学
Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics
论文作者
论文摘要
我们研究了近地平线2D重力理论，该理论捕获了BTZ的接近极端热力学，其质量过多$ΔM$和多余的角动量$ΔJ= \ MATHCAL {l} \，δm$，Δm$超过了极端。我们发现，Jackiw-teitelboim理论能够使用附加参数$ \ Mathcal {l} $与极端BTZ配置相关的其他参数$ \ Mathcal {l} $捕获这种出发。我们能够通过在BTZ几何的极端限制附近获得由$ \ Mathcal {l} $参数的BTZ几何形状的极端限制附近的新地平线来证明这一点。由此产生的jackiw-teitelboim理论捕获了此类BTZ几何形状的几乎极端热力学，如果我们确定了$ ads_2 $几何形状的温度$ t^{（2）} _ h $，jackiw-teitelboim理论是$ t^{（2）_ H = t_h/（l） $ t_h $是BTZ温度，$μ$具有$μ\，\ Mathcal {l} <1 $的化学电位。
We study the near horizon 2d gravity theory which captures the near extremal thermodynamics of BTZ with excess mass $δM$ and excess angular momentum $δJ =\mathcal{L}\, δM$ 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 $T^{(2)}_H=T_H/(1-μ\,\mathcal{L})$ where $T_H$ is the BTZ temperature and $μ$ its chemical potential with $μ\,\mathcal{L}<1$.
