标题： 黑洞熵的对数修正与全息原理 显示英文标题

标题： Logarithmic corrections to black hole entropy and holography

摘要： 我们计算全息设置中黑洞熵$S_{\rm bh}$的对数修正，其中宇宙学常数$\Lambda$和牛顿常数$G_D$被视为热力学参数，与体压强\(P\)和中心电荷\(c\)的变化相关。 在体中，对数修正的形式为$\mathcal{S} = S_{\rm bh} - k \ln S_{\rm bh} + \cdots$，这是由于热力学体积的涨落引起的，这种涨落由变量$\Lambda$引起，除了能量涨落之外。 我们显式计算了BTZ黑洞的系数$k$，并表明结果与来自Cardy公式对数修正的结果一致。 我们在CFT中提出了一种熵函数，该函数精确地再现了任意维数中黑洞熵的对数修正。 显示英文摘要

摘要： We compute logarithmic corrections to the black hole entropy $S_{\rm bh}$ in a holographic set up where the cosmological constant $\Lambda$ 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 $\Lambda$, 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.