量化N=2多中心溶液
Quantizing N=2 Multicenter Solutions
摘要：
在四维空间中，N=2的超引力，或者等价地在五维空间中，N=1的超引力，有一组有趣的BPS解，每一个解都对应着许多带电中心。这个集合包含了黑洞、黑环和它们的束缚态，以及许多光滑解。这样的解决方案的模空间进行自然辛形式，我们确定，这使我们能够研究其量化。通过计算得到的波函数，我们可以独立地推导出某些跨壁公式。这些波函数的明确形式的知识使我们能够找到一些明显的经典悖论，如几乎没有约束中心的解决方案和那些无限深的喉咙量子决议。我们发现，量子效应似乎上限在一个有限的深度，我们给出了相应的质量间隙的估计在双CFT的喉咙。这是一个有趣的例子，在这个系统中，量子效应在宏观尺度上是不能忽略的，即使曲率处处都很小。
英文摘要：
N=2 supergravity in four dimensions, or equivalently N=1 supergravity in five dimensions, has an interesting set of BPS solutions that each correspond to a number of charged centers. This set contains black holes, black rings and their bound states, as well as many smooth solutions. Moduli spaces of such solutions carry a natural symplectic form which we determine, and which allows us to study their quantization. By counting the resulting wavefunctions we come to an independent derivation of some of the wall-crossing formulae. Knowledge of the explicit form of these wavefunctions allows us to find quantum resolutions to some apparent classical paradoxes such as solutions with barely bound centers and those with an infinitely deep throat. We show that quantum effects seem to cap off the throat at a finite depth and we give an estimate for the corresponding mass gap in the dual CFT. This is an interesting example of a system where quantum effects cannot be neglected at macroscopic scales even though the curvature is everywhere small.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
