Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-21
Phys.Rev.D84:044018,2011
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, the version published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.84.044018
We obtain retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black holes of five-dimensional minimal gauged supergravity. The radial part of the (separable) massless Klein-Gordon equation in such general black hole backgrounds is Heun's equation, due to the singularity structure associated with the three black hole horizons. On the other hand, we find the scaling limit for the near-extreme, near-horizon background where the radial equation reduces to a Hypergeometric equation whose $SL(2,{\bf R})^2$ symmetry signifies the underlying two-dimensional conformal invariance, with the two sectors governed by the respective Frolov-Thorne temperatures.
Birkandan Tolga
Cvetic Mirjam
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