论文标题
对数校正对黑洞熵的耦合$ \ Mathcal {n} \ geq 1 $ Einstein-Maxwell Supergravity
Logarithmic corrections to black hole entropy in matter coupled $\mathcal{N} \geq 1$ Einstein-Maxwell supergravity
论文作者
论文摘要
我们计算了前三个Seeley-Dewitt系数，以使$ \ Mathcal {n} = 2 $ Einstein-Maxwell Suprgravity Theory（EMSGT）在$ d = 4 $时空维度中分布在不同的倍数中的无质量领域。通过在量子熵函数形式主义中利用Seeley-Dewitt数据，我们获得了对数校正的对数校正贡献，该校正贡献对极端Kerr-Newman的黑洞家族的熵。我们的结果使我们能够在完全物质的$ \ Mathcal {n} = 2，d = 4 $ emsgt中找到对数的极端黑洞的对数熵更正，在特定类别的$ \ mathcal {n} = 1，d = 1，d = 4 $ emsgt中，作为$ \ m rathcal的一致分解， （$ \ Mathcal {n} = 2 \ to \ Mathcal {n} = 1 $），在$ \ Mathcal {n} \ geq 3，d = 4 $ emsgts中，通过将它们分解为$ \ nathcal {n} = 2 $ multiests（$ \ \ \ m natercal {n n} n} n} n} \ q $ $ $ $为了完整，我们还获得了对数的熵校正结果，用于此问题中非高级Kerr-Newman黑洞，$ \ Mathcal {n} \ geq 1，d = 4 $ emsgts，通过将相同的seeley-dewitt数据运用到不同的euclidean vertity中，从而形成了不同的Euclidean Gravity，从而形成了不同的Euclidean Gravity Inxiv：1205.05.0505.0971。
We calculate the first three Seeley-DeWitt coefficients for fluctuation of the massless fields of an $\mathcal{N}=2$ Einstein-Maxwell supergravity theory (EMSGT) distributed into different multiplets in $d=4$ space-time dimensions. By utilizing the Seeley-DeWitt data in the quantum entropy function formalism, we then obtain the logarithmic correction contribution of individual multiplets to the entropy of extremal Kerr-Newman family of black holes. Our results allow us to find the logarithmic entropy corrections for the extremal black holes in a fully matter coupled $\mathcal{N}=2,d=4$ EMSGT, in a particular class of $\mathcal{N}=1,d=4$ EMSGT as consistent decomposition of $\mathcal{N}=2$ multiplets ($\mathcal{N}=2 \to \mathcal{N}=1$) and in $\mathcal{N} \geq 3,d=4$ EMSGTs by decomposing them into $\mathcal{N}=2$ multiplets ($\mathcal{N} \geq 3 \to \mathcal{N}=2$). For completeness, we also obtain logarithmic entropy correction results for the non-extremal Kerr-Newman black holes in the matter coupled $\mathcal{N} \geq 1,d=4$ EMSGTs by employing the same Seeley-DeWitt data into a different Euclidean gravity approach developed in arXiv:1205.0971.
