292 research outputs found
D-brane Construction of the 5D NHEK Dual
Extremal but non-supersymmetric charged black holes with SU(2)_L spin in IIB
string theory compactified to five dimensions on K^3 x S^1 are considered.
These have a near-horizon or NHEK region with an enhanced SL(2,R)_L conformal
symmetry. It is shown that the NHEK geometry has a second, inequivalent,
asymptotically flat extension in which the radius of the S^1 becomes infinite
but the radius of the angular circles of SU(2)_L orbits approach a constant.
The asymptotic charges associated to the second solution identify it as a 5D
D1-D5-Taub-NUT black string with certain nonzero worldvolume charge densities,
temperatures and chemical potentials. The dual of the NHEK geometry is then
identified as an IR limit of this wrapped brane configuration.Comment: 11 page
CFT Duals for Extreme Black Holes
It is argued that the general four-dimensional extremal Kerr-Newman-AdS-dS
black hole is holographically dual to a (chiral half of a) two-dimensional CFT,
generalizing an argument given recently for the special case of extremal Kerr.
Specifically, the asymptotic symmetries of the near-horizon region of the
general extremal black hole are shown to be generated by a Virasoro algebra.
Semiclassical formulae are derived for the central charge and temperature of
the dual CFT as functions of the cosmological constant, Newton's constant and
the black hole charges and spin. We then show, assuming the Cardy formula, that
the microscopic entropy of the dual CFT precisely reproduces the macroscopic
Bekenstein-Hawking area law. This CFT description becomes singular in the
extreme Reissner-Nordstrom limit where the black hole has no spin. At this
point a second dual CFT description is proposed in which the global part of the
U(1) gauge symmetry is promoted to a Virasoro algebra. This second description
is also found to reproduce the area law. Various further generalizations
including higher dimensions are discussed.Comment: 18 pages; v2 minor change
Microscopics of Extremal Kerr from Spinning M5 Branes
We show that the spinning magnetic one-brane in minimal five-dimensional
supergravity admits a decoupling limit that interpolates smoothly between a
self-dual null orbifold of AdS_3 \times S^2 and the near-horizon limit of the
extremal Kerr black hole times a circle. We use this interpolating solution to
understand the field theory dual to spinning M5 branes as a deformation of the
Discrete Light Cone Quantized (DLCQ) Maldacena-Stominger-Witten (MSW) CFT. In
particular, the conformal weights of the operators dual to the deformation
around AdS_3 \times S^2 are calculated. We present pieces of evidence showing
that a CFT dual to the four-dimensional extremal Kerr can be obtained from the
deformed MSW CFT.Comment: 5 page
On R**2 Corrections for 5D Black Holes
We study higher order corrections to extremal black holes/black string in
five dimensions. These higher order corrections are due to supersymmetric
completion of R**2 term in five dimensions. By making use of the results we
extend the notion of very special geometry when higher derivative terms are
also taken into account. This can be used to make a connection between total
bundle space of near horizon wrapped M2's and wrapped M5's in the presence of
higher order corrections. We also show how the corrected geometry removes the
singularity of a small black hole.Comment: 16 pages, latex file, V3: typos corrected, refs added, V4; minor
corrections, few comments added, refs adde
Higher derivative corrections in holographic Zamolodchikov-Polchinski theorem
We study higher derivative corrections in holographic dual of
Zamolodchikov-Polchinski theorem that states the equivalence between scale
invariance and conformal invariance in unitary d-dimensional Poincare invariant
field theories. From the dual holographic perspective, we find that a
sufficient condition to show the holographic theorem is the generalized strict
null energy condition of the matter sector in effective (d+1)-dimensional
gravitational theory. The same condition has appeared in the holographic dual
of the "c-theorem" and our theorem suggests a deep connection between the two,
which was manifested in two-dimensional field theoretic proof of the both.Comment: 13 pages, v2: reference added, v3 some clarification adde
Central Charge for AdS_2 Quantum Gravity
Two-dimensional Maxwell-dilaton quantum gravity on AdS_2 with radius
and a constant electric field E is studied. In conformal gauge, this is
equivalent to a CFT on a strip. In order to maintain consistent boundary
conditions, the usual conformal diffeomorphisms must be accompanied by a
certain U(1) gauge transformation. The resulting conformal transformations are
generated by a twisted stress tensor, which has a central charge where k is the level of the U(1) current. This is an AdS_2 analog of
the Brown-Henneaux formula for the central charge of quantum
gravity on AdS_3
Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
We investigate the recently proposed Kerr/CFT correspondence in the context
of heterotic string theory. The Kerr/CFT correspondence states that the
near-horizon states of an extremal four (or higher) dimensional black hole
could be identified with a certain chiral conformal field theory under the
conjecture that the central charges from the non-gravitational fields vanish.
The corresponding Virasoro algebra is generated by a class of diffeomorphisms
which preserves the appropriate boundary conditions on the near-horizon
geometry. To understand the chiral conformal field theory, we consider the
class of extremal Kerr-Sen black hole (that contains three non-gravitational
fields) as a class of solutions in the low energy limit (effective field
theory) of heterotic string theory. We derive the expression of the conserved
charges for the extremal Kerr-Sen solutions that contain dilaton, abelian gauge
filed and antisymmetric tensor filed. We confirm and extend the validity of the
conjecture (that the central charges from the non-gravitational fields vanish)
for theories including antisymmetric tensor fields. We combine the calculated
central charges with the expected form of the temperature using the Cardy
formula to obtain the entropy of the extremal black hole microscopically; in
agreement with the macroscopic Bekenstein-Hawking entropy of the extremal black
hole.Comment: 14 pages, a few sentences added to the introduction, version to
appear in JHE
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