J. Maldacena et A. Strominger, UNIVERSAL LOW-ENERGY DYNAMICS FOR ROTATING BLACK-HOLES, Physical review. D. Particles and fields, 56(8), 1997, pp. 4975-4983
Fundamental string theory has been used to show that low-energy excita
tions of certain black holes are described by a two-dimensional confor
mal field theory. This picture has been found to be extremely robust.
In this paper it is argued that many essential features of the low-ene
rgy effective theory can be inferred directly from a semiclassical ana
lysis of the general Kerr-Newman solution of supersymmetric four-dimen
sional Einstein-Maxwell gravity, without using string theory. We consi
der the absorption and emission of scalars with orbital angular moment
um, which provide a sensitive probe of the black hole. We find that th
e semiclassical emission rates-including super-radiant emission and gr
eybody factors-for such scalars agree in striking detail with those co
mputed in the effective conformal held theory, in both four and five d
imensions. Also the value of the quantum mass gap to the lowest-lying
excitation of a charge-Q black hole, E-gap = 1/8Q(3) in Planck units,
can be derived without knowledge of fundamental string theory.