Geometry of I-extremization and black holes microstates
Geometry of I-extremization and black holes microstates
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I-极端化几何和黑洞微观状态
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
A. Zaffaroni
中科院分区：
文献类型：
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作者：
Seyed Morteza Hosseini;A. Zaffaroni
摘要：通过对偶三维场论的拓扑扭曲指数极化，可以得到一类渐近AdS4磁荷BPS黑洞的熵。这个原理被称为i -极端化。最近提出了一类由生活在Calabi-Yau四重层的m2膜的扭曲紧化得到的理论的i-极化的引力对偶。本文研究了两个极值原则之间的关系。我们证明了这两种极化过程对于没有重子对称性的理论是等价的，包括ABJM和对非环面Sasaki-Einstein流形V 5,2的对偶理论。然后，我们考虑了一类在环形Calabi-Yau四折上对偶于m2膜的颤振，其i泛函可以在大N极限下计算，并且依赖于三个介子通量。我们提出了这种结构的引力对偶，我们称之为介子扭曲，我们证明了引力极值问题和i极值问题是等价的。我们只评论一般情况。
Abstract: The entropy of a class of asymptotically AdS4 magnetically charged BPS black holes can be obtained by extremizing the topologically twisted index of the dual three-dimensional field theory. This principle is known as I-extremization. A gravitational dual of I-extremization for a class of theories obtained by twisted compactifications of M2-branes living at a Calabi-Yau four-fold has been recently proposed. In this paper we investigate the relation between the two extremization principles. We show that the two extremization procedures are equivalent for theories without baryonic symmetries, which include ABJM and the theory dual to the non-toric Sasaki-Einstein manifold V 5,2. We then consider a class of quivers dual to M2-branes at toric Calabi-Yau four-folds for which the I-functional can be computed in the large N limit, and depends on three mesonic fluxes. We propose a gravitational dual for this construction, that we call mesonic twist, and we show that the gravitational extremization problem and I-extremization are equivalent. We comment on more general cases.
c-极端化的几何对偶
影响因子：
5.4
作者：
Couzens C
通讯作者：
Couzens C
F 理论和 AdS3/CFT2 (2, 0)
影响因子：
5.4
作者：
Couzens C
通讯作者：
Couzens C
重子电荷支持的超对称量子临界性
影响因子：
5.4
作者：
Donos A
通讯作者：
Donos A