Love symmetry
Love symmetry
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DOI：
10.1007/jhep10(2022)175
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发表时间：
2022-09
影响因子：
5.4
通讯作者：
Panagiotis Charalambous;S. Dubovsky;M. Ivanov
中科院分区：
文献类型：
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作者：
Panagiotis Charalambous;S. Dubovsky;M. Ivanov
在适当定义的近区近似下，Kerr-Newman黑洞背景中无质量场的扰动具有（“Love”）SL（2，π）对称性。我们提出了一个详细的研究，这种对称性，并显示如何在四维和更高的维度黑洞响应的复杂行为，可以理解从SL（2，λ）表示理论。特别地，四维黑洞的静态扰动属于最高权SL（2，λ）表示。正是这种最高权重的特性迫使静态的Love数消失。我们发现，爱的对称性是紧密相连的极端黑洞的增强等距。这种关系对于极端带电球对称（Reissner-Nordström）解来说是最简单的，其中洛夫对称性精确地简化为近视界AdS 2喉的等距。对于旋转的（Kerr-Newman）黑洞，我们考虑Love对称的无限维SL（2，n）∞扩展。它包含三个物理上不同的子代数：Love代数，Starobinsky近区代数，以及在极值极限中成为Bardeen-Horowitz等距的近视界代数。我们还讨论了其他方面的爱对称性，如几何意义的发电机的自旋加权场，连接到无毛定理，非重整化的爱数，其关系（非极值）克尔/CFT对应和前景，其存在的修改后的引力理论。
Perturbations of massless fields in the Kerr-Newman black hole background enjoy a (“Love”) SL (2, ℝ) symmetry in the suitably defined near zone approximation. We present a detailed study of this symmetry and show how the intricate behavior of black hole responses in four and higher dimensions can be understood from the SL (2, ℝ) representation theory. In particular, static perturbations of four-dimensional black holes belong to highest weight SL (2, ℝ) representations. It is this highest weight properety that forces the static Love numbers to vanish. We find that the Love symmetry is tightly connected to the enhanced isometries of extremal black holes. This relation is simplest for extremal charged spherically symmetric (Reissner-Nordström) solutions, where the Love symmetry exactly reduces to the isometry of the near horizon AdS 2 throat. For rotating (Kerr-Newman) black holes one is lead to consider an infinite-dimensional SL (2, ℝ)⋉extension of the Love symmetry. It contains three physically distinct subalgebras: the Love algebra, the Starobinsky near zone algebra, and the near horizon algebra that becomes the Bardeen-Horowitz isometry in the extremal limit. We also discuss other aspects of the Love symmetry, such as the geometric meaning of its generators for spin weighted fields, connection to the no-hair theorems, non-renormalization of Love numbers, its relation to (non-extremal) Kerr/CFT correspondence and prospects of its existence in modified theories of gravity.