Log corrections to entropy of three dimensional black holes with soft hair

被引:14
|
作者
Grumiller, Daniel [1 ,2 ,3 ]
Perez, Alfredo [2 ]
Tempo, David [2 ]
Troncoso, Ricardo [2 ,3 ]
机构
[1] TU Wien, Inst Theoret Phys, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria
[2] Ctr Estudios Cient, Ave Arturo Prat 514, Valdivia, Chile
[3] Galileo Galilei Inst Theoret Phys, Florence, Italy
来源
基金
奥地利科学基金会;
关键词
Black Holes; Classical Theories of Gravity; Gauge-gravity correspondence; THERMODYNAMICS; CHARGES;
D O I
10.1007/JHEP08(2017)107
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We calculate log corrections to the entropy of three-dimensional black holes with "soft hairy" boundary conditions. Their thermodynamics possesses some special features that preclude a naive direct evaluation of these corrections, so we follow two different approaches. The first one exploits that the BTZ black hole belongs to the spectrum of Brown-Henneaux as well as soft hairy boundary conditions, so that the respective log corrections are related through a suitable change of the thermodynamic ensemble. In the second approach the analogue of modular invariance is considered for dual theories with anisotropic scaling of Lifshitz type with dynamical exponent z at the boundary. On the gravity side such scalings arise for KdV-type boundary conditions, which provide a specific 1-parameter family of multi-trace deformations of the usual AdS(3)/CFT2 setup, with Brown-Henneaux corresponding to z = 1 and soft hairy boundary conditions to the limiting case z -> 0(+). Both approaches agree in the case of BTZ black holes for any non-negative z. Finally, for soft hairy boundary conditions we show that not only the leading term, but also the log corrections to the entropy of black flowers endowed with affine (u) over cap (1) soft hair charges exclusively depend on the zero modes and hence coincide with the ones for BTZ black holes.
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页数:15
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