Isomonodromy, Painleve, transcendents and scattering off of black holes

被引：40
作者：
Novaes, Fabio [1 ]
da Cunha, Bruno Carneiro [1 ]
机构：
[1] Univ Fed Pernambuco, Dept Fis, BR-50670901 Recife, PE, Brazil
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 07期
关键词：
Integrable Equations in Physics; Black Holes; Black Holes in String Theory; ORDINARY DIFFERENTIAL-EQUATIONS; DEFORMATION; EXPANSION;
D O I：
10.1007/JHEP07(2014)132
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 apply the method of isomonodromy to study the scattering of a generic Kerr-NUT-(A)dS black hole. For generic values of the charges, the problem is related to the connection problem of the Painleve VI transcendent. We review a few facts about Painleve, VI, Garnier systems and the Hamiltonian structure of flat connections in the Riemann sphere. We then outline a method for computing the scattering amplitudes based on Hamilton-Jacobi structure of Painleve, and discuss the implications of the generic result to black hole complementarity.
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页数：31
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