论文标题
Minkowski $ _4 $的热力学的黑暗（BPS）
The dark (BPS) side of thermodynamics in Minkowski$_4$
论文作者
论文摘要
我们探索了渐近平坦黑洞热力学的BPS极限，与最近对抗DE保姆空间中黑洞的研究相似。尽管最终是由超对称性和量子引力的动机，但BPS极限在纯Einstein-Maxwell理论中的二变型Kerr-Newman黑洞和各种概括都具有额外的标量和规格场，并且承认嵌入在$ \ Mathcal {n} = 2 $ supergravity中的各种概括（对于CONCERETYS）。该极限显然与极端性不同，因为它包括一个旋转的欧几里得鞍座，代表了一个（虚构的）热分支，与极端静态静态reissner-nordström黑洞及其概括与额外物质的概括平稳连接。我们能够明确评估所有BPS化学势，从而发现恒定的想象角速度由于灯芯旋转而导致。在固定磁性和不同电荷的混合集合中，我们得出了OSV公式，该公式对于微观理解系统至关重要，并提供证据表明应将其解释为定点公式。
We explore the BPS limit of asymptotically flat black hole thermodynamics, drawing analogies with recent studies of black holes in anti-de Sitter space. Although ultimately motivated by supersymmetry and quantum gravity, the BPS limit is classically well-defined for the dyonic Kerr-Newman black holes in pure Einstein-Maxwell theory and various generalizations with additional scalars and gauge fields that admit embedding in $\mathcal{N}=2$ supergravity (for concreteness we consider the STU model). This limit is manifestly different from extremality as it includes a family of rotating Euclidean saddles that represent a (fictitious) thermal branch, smoothly connected with the extremal static Reissner-Nordström black hole and its generalizations with extra matter. We are able to evaluate unambiguously all BPS chemical potentials, finding constant imaginary angular velocity as a consequence of Wick rotation. In the mixed ensemble of fixed magnetic and varying electric charges, we derive the OSV formula that is crucial for the microscopic understanding of the system, and provide evidence that it should be interpreted as a fixed-point formula.
