Isomonodromy, Painleve, transcendents and scattering off of black holes

被引：42

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.

引用

页数：31