Duality Symmetry and the Cardy Limit
release_u26yuwurmfbelm35kc5g7r6mvq
by
Suresh Nampuri, Prasanta K.Tripathy, Sandip P. Trivedi
2008
Abstract
We study supersymmetric and non-supersymmetric extremal black holes obtained
in Type IIA string theory compactified on K3 X T^2, with duality group
O(6,22,Z) X SL(2,Z). In the Cardy limit an internal circle combines with the
AdS_2 component in the near horizon geometry to give a BTZ black hole whose
entropy is given by the Cardy formula. We study black holes carrying D0-D4 and
D0-D6 brane charges. We find, both in the supersymmetric and non-supersymmetric
cases, that a generic set of charges cannot be brought to the Cardy limit using
the duality symmetries. In the non-supersymmetric case, unlike the
supersymmetric one, we find that when the charges are large, a small fractional
change in them always allows the charges to be taken to the Cardy limit. These
results could lead to a microscopic determination of the entropy for extremal
non-supersymmetric black holes, including rotating cases like the extreme Kerr
black hole in four dimensions.
In text/plain
format
Archived Files and Locations
application/pdf 409.4 kB
file_4vhr547xafeitbbwfancjidi4q
|
arxiv.org (repository) web.archive.org (webarchive) |
access all versions, variants, and formats of this works (eg, pre-prints)