515 research outputs found
On the CFT duals for near-extremal black holes
We consider Kerr-Newman-AdS-dS black holes near extremality and work out the
near-horizon geometry of these near-extremal black holes. We identify the exact
U(1)_L x U(1)_R isometries of the near-horizon geometry and provide boundary
conditions enhancing them to a pair of commuting Virasoro algebras. The
conserved charges of the corresponding asymptotic symmetries are found to be
well defined and non-vanishing and to yield central charges c_L\neq0 and c_R=0.
The Cardy formula subsequently reproduces the Bekenstein-Hawking entropy of the
black hole. This suggests that the near-extremal Kerr-Newman-AdS-dS black hole
is holographically dual to a non-chiral two-dimensional conformal field theory.Comment: 11 page
The RN/CFT Correspondence Revisited
We reconsidered the quantum gravity description of the near horizon extremal
Reissner-Nordstr{\o}m black hole in the viewpoint of the AdS/CFT
correspondence. We found that, for pure electric case, the right moving central
charge of dual 1D CFT is which is different from the previous result of left moving sector obtained by warped AdS/CFT description. We
discussed the discrepancy in these two approaches and examined novel properties
of our result.Comment: revtex4, 16 pages, sign mistakes corrected, references include
Hidden Conformal Symmetry of the Reissner-Nordstr{\o}m Black Holes
Motivated by recent progresses in the holographic descriptions of the Kerr
and Reissner-Nordstr{\o}m (RN) black holes, we explore the hidden conformal
symmetry of nonextremal uplifted 5D RN black hole by studying the near horizon
wave equation of a massless scalar field propagating in this background.
Similar to the Kerr black hole case, this hidden symmetry is broken by the
periodicity of the associated angle coordinate in the background geometry, but
the results somehow testify the dual CFT description of the nonextremal RN
black holes. The duality is further supported by matching of the entropies and
absorption cross sections calculated from both CFT and gravity sides.Comment: 14 pages, no figur
Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes
We consider the description of
Reissner-Nordstr{\o}m black holes by studying their uplifted counterparts in
five dimensions. Assuming a natural size of the extra dimension, the near
horizon geometries for the extremal limit are exactly . We compute the scattering amplitude of a scalar field, with a
mode near threshold of frequency and extra dimensional momentum, by a near
extremal uplifted black hole. The absorption cross section agrees with the two
point function of the CFT dual to the scalar field.Comment: reference added, improper statements corrected, 17 pages, no figure
Uniqueness Theorem for Black Hole Space-Times with Multiple Disconnected Horizons
We show uniqueness of stationary and asymptotically flat black hole
space-times with multiple disconnected horizons and with two rotational Killing
vector fields in the context of five-dimensional minimal supergravity
(Einstein-Maxwell-Chern-Simons gravity). The novelty in this work is the
introduction in the uniqueness theorem of intrinsic local charges measured near
each horizon as well as the measurement of local fluxes besides the asymptotic
charges that characterize a particular solution. A systematic method of
defining the boundary conditions on the fields that specify a black hole
space-time is given based on the study of its rod structure (domain structure).
Also, an analysis of known solutions with disconnected horizons is carried out
as an example of an application of this theorem.Comment: 28 pages, 5 figures. v3: Further improvements on uniqueness theorem,
Lemma introduced for clarity of derivation, new quantities introduced to
treat special case with zero flux, refs. added, typos fixe
A near-NHEK/CFT correspondence
We consider excitations around the recently introduced near-NHEK metric
describing the near-horizon geometry of the near-extremal four-dimensional Kerr
black hole. This geometry has a U(1)_L x U(1)_R isometry group which can be
enhanced to a pair of commuting Virasoro algebras. We present boundary
conditions for which the conserved charges of the corresponding asymptotic
symmetries are well defined and non-vanishing and find the central charges
c_L=12J/hbar and c_R=0 where J is the angular momentum of the black hole.
Applying the Cardy formula reproduces the Bekenstein-Hawking entropy of the
black hole. This suggests that the near-extremal Kerr black hole is
holographically dual to a non-chiral two-dimensional conformal field theory.Comment: 11 pages, v2: references updated, adde
Microscopic Realization of the Kerr/CFT Correspondence
Supersymmetric M/string compactifications to five dimensions contain BPS
black string solutions with magnetic graviphoton charge P and near-horizon
geometries which are quotients of AdS_3 x S^2. The holographic duals are
typically known 2D CFTs with central charges c_L=c_R=6P^3 for large P. These
same 5D compactifications also contain non-BPS but extreme Kerr-Newman black
hole solutions with SU(2)_L spin J_L and electric graviphoton charge Q obeying
Q^3 \leq J_L^2. It is shown that in the maximally charged limit Q^3 -> J_L^2,
the near-horizon geometry coincides precisely with the right-moving temperature
T_R=0 limit of the black string with magnetic charge P=J_L^{1/3}. The known
dual of the latter is identified as the c_L=c_R=6J_L CFT predicted by the
Kerr/CFT correspondence. Moreover, at linear order away from maximality, one
finds a T_R \neq 0 quotient of the AdS_3 factor of the black string solution
and the associated thermal CFT entropy reproduces the linearly sub-maximal
Kerr-Newman entropy. Beyond linear order, for general Q^3<J_L^2, one has a
finite-temperature quotient of a warped deformation of the magnetic string
geometry. The corresponding dual deformation of the magnetic string CFT
potentially supplies, for the general case, the c_L=c_R=6J_L CFT predicted by
Kerr/CFT.Comment: 18 pages, no figure
Searching for Signatures of Cosmic Superstrings in the CMB
Because cosmic superstrings generically form junctions and gauge theoretic
strings typically do not, junctions may provide a signature to distinguish
between cosmic superstrings and gauge theoretic cosmic strings. In cosmic
microwave background anisotropy maps, cosmic strings lead to distinctive line
discontinuities. String junctions lead to junctions in these line
discontinuities. In turn, edge detection algorithms such as the Canny algorithm
can be used to search for signatures of strings in anisotropy maps. We apply
the Canny algorithm to simulated maps which contain the effects of cosmic
strings with and without string junctions. The Canny algorithm produces edge
maps. To distinguish between edge maps from string simulations with and without
junctions, we examine the density distribution of edges and pixels crossed by
edges. We find that in string simulations without Gaussian noise (such as
produced by the dominant inflationary fluctuations) our analysis of the output
data from the Canny algorithm can clearly distinguish between simulations with
and without string junctions. In the presence of Gaussian noise at the level
expected from the current bounds on the contribution of cosmic strings to the
total power spectrum of density fluctuations, the distinction between models
with and without junctions is more difficult. However, by carefully analyzing
the data the models can still be differentiated.Comment: 15 page
The 21 cm Signature of Shock Heated and Diffuse Cosmic String Wakes
The analysis of the 21 cm signature of cosmic string wakes is extended in
several ways. First we consider the constraints on from the absorption
signal of shock heated wakes laid down much later than matter radiation
equality. Secondly we analyze the signal of diffuse wake, that is those wakes
in which there is a baryon overdensity but which have not shock heated. Finally
we compare the size of these signals compared to the expected thermal noise per
pixel which dominates over the background cosmic gas brightness temperature and
find that the cosmic string signal will exceed the thermal noise of an
individual pixel in the Square Kilometre Array for string tensions .Comment: 10 pages, 4 figures, Appendix added, version published in JCA
- …