论文标题
$ n $的超符合索引和广告的熵$ _5 $ $ \ times $ se $ _5 $黑洞
Superconformal indices at large $N$ and the entropy of AdS$_5$ $\times$ SE$_5$ black holes
论文作者
论文摘要
与仅在相等的Angular Momenta的特定情况下，与一类ADS $ _5 $黑洞的熵相比，计算并成功地计算了四维超符号指数的$ N $限制。使用Bethe Ansatz配方，我们计算了所有费用和Angular Momena的任意化学潜力的大体索引，对于一般$ \ Mathcal {n} = 1 $ $ $ \ MATHCAL {n} = 1 $四维的共形理论，并具有全息二。我们猜想并提供了一些证据表明，对贝特果阿的款项的特定普遍贡献在$ n $中占主导地位。对于$ \ Mathcal {n} = 4 $ sym，此贡献正确地导致了BPS Kerr-Newman黑洞的熵，ads $ _5 \ times s^5 $，用于保守指控的任意值，从而完成其微骨的显微镜衍生。我们还考虑对ADS $ _5 \ TIME \ MATHRM {SE} _5 $的理论双重，其中SE $ _5 $是Sasaki-Einstein歧管。我们首先检查了所谓的通用黑洞的结果。然后，我们明确构建了BPS Kerr-Newman黑洞的近水压几何形状，$ _5 \ times t^{1,1} $，根据对称性理论的Baryonic对称性收取，具有相同的角度臂。我们使用吸引子机制计算这些黑洞的熵，并与现场理论预测完全一致。
The large $N$ limit of the four-dimensional superconformal index was computed and successfully compared to the entropy of a class of AdS$_5$ black holes only in the particular case of equal angular momenta. Using the Bethe Ansatz formulation, we compute the index at large $N$ with arbitrary chemical potentials for all charges and angular momenta, for general $\mathcal{N}=1$ four-dimensional conformal theories with a holographic dual. We conjecture and bring some evidence that a particular universal contribution to the sum over Bethe vacua dominates the index at large $N$. For $\mathcal{N}=4$ SYM, this contribution correctly leads to the entropy of BPS Kerr-Newman black holes in AdS$_5 \times S^5$ for arbitrary values of the conserved charges, thus completing the microscopic derivation of their microstates. We also consider theories dual to AdS$_5 \times \mathrm{SE}_5$, where SE$_5$ is a Sasaki-Einstein manifold. We first check our results against the so-called universal black hole. We then explicitly construct the near-horizon geometry of BPS Kerr-Newman black holes in AdS$_5 \times T^{1,1}$, charged under the baryonic symmetry of the conifold theory and with equal angular momenta. We compute the entropy of these black holes using the attractor mechanism and find complete agreement with the field theory predictions.
