论文标题
对数校正黑洞熵和全息图
Logarithmic corrections to black hole entropy and holography
论文作者
论文摘要
我们将对数校正计算到黑洞熵$ s _ {\ rm bh} $中的全息图设置中，其中宇宙常数$λ$和牛顿的常数$ g_d $被视为热力学参数，与散装压力的变量相关（p \ \）和Central Charge and Central Charge and Central Charge and Central Charge（C \ \）。在批量的情况下，对数校正的形式是：$ \ MATHCAL {s} = S _ {\ rm BH} - K \ ln S _ {\ rm BH} + \ cdots $，由于热力学体积的波动而引起，由可变的$λ$诱导，此外是由于热力学量的波动而引起的。我们明确地为BTZ黑洞计算了此系数$ K $，并表明结果与来自对数校正到Cardy的公式的结果相匹配。我们在CFT中提出了一个熵函数，该功能准确地重现了对数校正在任意维度中的黑洞熵。
We compute logarithmic corrections to the black hole entropy $S_{\rm bh}$ in a holographic set up where the cosmological constant $Λ$ and Newton's constant $G_D$ are taken to be thermodynamic parameters, related to variations in bulk pressure \(P\) and central charge \(c\). In the bulk, the logarithmic corrections are of the form: $\mathcal{S} = S_{\rm bh} - k \ln S_{\rm bh} + \cdots$ arising due to fluctuations in thermodynamic volume, induced by a variable $Λ$, in addition to energy fluctuations. We explicitly compute this coefficient $k$ for the BTZ black hole and show that the result matches with the one coming from the logarithmic corrections to the Cardy's formula. We propose an entropy function in the CFT, which exactly reproduces the logarithmic corrections to black hole entropy in arbitrary dimensions.
