发表机构
Institute for Theoretical Physics, Utrecht University（乌得勒支大学理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究规范N=2超引力中AdS₄黑洞的平直空间极限，分析配分函数贡献态，明确大小黑洞的配分函数行为，通过ABJM配分函数的类Carroll极限重现平直空间BPS带电黑洞的正确熵。
AI 中文摘要
为理解平直空间全息原理，我们研究规范N=2超引力中渐近AdS₄黑洞的平直空间极限。利用全息重整化，我们仔细分析该设定下各类黑洞的壳上作用量的平直空间极限，明确该极限下对配分函数有贡献的态。我们发现若干特征：大黑洞导致配分函数出现发散，可理解为热力学体积发散；半经典层面，小黑洞重现其平直空间对应物的配分函数，且阐明了带电与旋转解两侧BPS、近极值或非极值黑洞间的对应关系。最后，通过研究M理论中BPS Kerr-Newman-AdS₄黑洞的合适平直极限，我们得到平直空间中的带电BPS解。对偶侧，我们确定大N极限下ABJM配分函数在S¹×S²上的类Carroll极限，证明其重现渐近平直空间中BPS带电黑洞的正确熵。
英文摘要
With a view towards understanding flat space holography, we study the flat space limit of asymptotically $AdS_4$ black holes in gauged $\mathcal{N}=2$ supergravity. Using holographic renormalisation, we carefully analyse the flat space limit of the on-shell action of various black holes in this setting and make explicit the states that contribute to the partition function in this limit. We find several features: large black holes lead to a divergence in the partition function which can be understood as a thermodynamic volume divergence. Meanwhile, semiclassically, small black holes reproduce the partition function of their flat space counterparts, and we clarify the mapping between BPS, (near-)extremal or non-extremal black holes on both sides for charged and rotating solutions. Finally, by studying a suitable flat limit of the BPS Kerr-Newman-$AdS_4$ black hole in M-theory, we obtain a charged BPS solution in flat space. On the dual side, we determine a Carrollian-like limit on the known ABJM partition function on $S^1\times S^2$ at large $N$, and show that it reproduces the correct entropy of the BPS charged black hole in asymptotically flat space.
Comments38 pages, fixed typos, added references and comments
