62 research outputs found
Holographic description of Kerr-Bolt-AdS-dS Spacetimes
We show that there exists a holographic 2D CFT description of a
Kerr-Bolt-AdS-dS spacetime. We first consider the wave equation of a massless
scalar field propagating in extremal Kerr-Bolt-AdS-dS spacetimes and find in
the "near region", the wave equation in extremal limit could be written in
terms of the quadratic Casimir. This suggests that there exist dual
CFT descriptions of these black holes. In the probe limit, we compute the
scattering amplitudes of the scalar off the extremal black holes and find
perfect agreement with the CFT prediction. Furthermore we study the holographic
description of the generic four dimensional non-extremal Kerr-Bolt-AdS-dS black
holes. We find that if focusing on the near-horizon region, for the massless
scalar scattering in the low-frequency limit, the radial equation could still
be rewritten as the quadratic Casimir, suggesting the existence of
dual 2D description. We read the temperatures of the dual CFT from the
conformal coordinates and obtain the central charges by studying the
near-horizon geometry of near-extremal black holes. We recover the macroscopic
entropy from the microscopic counting. We also show that for the superradiant
scattering, the retarded Green's functions and the corresponding absorption
cross sections are in perfect match with CFT prediction.Comment: 17 pages, typos corrected, references adde
Vortices in De Sitter Spacetimes
We investigate vortex solutions to the Abelian Higgs field equations in a
four dimensional de Sitter spacetime background. We obtain both static and
dynamic solutions with axial symmetry that are generalizations of the
Nielsen-Olesen gauge vortices in flat spacetime. The static solution is located
in the static patch of de Sitter space. We numerically solve the field
equations in an inflationary (big bang) patch and find a time dependent vortex
soution, whose effect to create a deficit angle in the spacetime. We show that
this solution can be interpreted in terms of a renormalization group flow in
accord with a generalized {}-theorem, providing evidence in favour of a
dS/CFT correspondence.Comment: 14 pages, 8 figures, two figures changed, typos corrected,
conclusions and two new figures added, version to appear in PL
Gibbons-Hawking M-branes
We present new M2 and M5-brane solutions in M-theory based on transverse
Gibbons-Hawking spaces. These solutions provide realizations of fully localized
type IIA D2/D6 and NS5/D6 brane intersections. One novel feature of these
solutions is that the metric functions depend on more than two transverse
coordinates (unlike all the other previous known solutions). All the solutions
have eight preserved supersymmetries and the world-volume theories of the
NS5-branes are new non-local, non-gravitational, six dimensional, T-dual little
string theories with eight supersymmetries. We discuss the limits in which the
dynamics of the D2 and NS5-branes decouple from the bulk for these solutions.Comment: 32 pages, 7 figures, few sentences added, a couple of typos
corrected, to appear in JHE
Atiyah-Hitchin M-Branes
We present new M2 and M5 brane solutions in M-theory based on transverse
Atiyah-Hitchin space and other self-dual geometries. One novel feature of these
solutions is that they have bolt-like fixed points yet still preserve 1/4 of
the supersymmetry. All the solutions can be reduced down to ten dimensional
intersecting brane configurations.Comment: 18 pages, 5 figures, one paragraph added in the conclusions, typos
correcte
Global Conformal Invariance in D-dimensions and Logarithmic Correlation Functions
We define transformation of multiplets of fields (Jordan cells) under the
D-dimensional conformal group, and calculate two and three point functions of
fields, which show logarithmic behaviour. We also show how by a formal
differentiation procedure, one can obtain n-point function of logarithmic field
theory from those of ordinary conformal field theory.Comment: 9 pages, LaTeX, some misprints are corrected, to be published in
Phys. Lett.
Logarithmic N=1 superconformal field theories
We study the logarithmic superconformal field theories. Explicitly, the
two-point functions of N=1 logarithmic superconformal field theories (LSCFT)
when the Jordan blocks are two (or more) dimensional, and when there are one
(or more) Jordan block(s) have been obtained. Using the well known three-point
fuctions of N=1 superconformal field theory (SCFT), three-point functions of
N=1 LSCFT are obtained. The general form of N=1 SCFT's four-point functions is
also obtained, from which one can easily calculate four-point functions in N=1
LSCFT.Comment: 10 pages, LaTeX file, minor revisions made, to appear in Phys. Lett.
Entropic N-bound and Maximal Mass Conjecture Violations in Four Dimensional Taub-Bolt(NUT)-dS Spacetimes
We show that the class of four-dimensional Taub-Bolt(NUT) spacetimes with
positive cosmological constant for some values of NUT charges are stable and
have entropies that are greater than that of de Sitter spacetime, in violation
of the entropic N-bound conjecture. We also show that the maximal mass
conjecture, which states "any asymptotically dS spacetime with mass greater
than dS has a cosmological singularity", can be violated as well. Our
calculation of conserved mass and entropy is based on an extension of the path
integral formulation to asymptotically de Sitter spacetimes.Comment: 37 pages, 22 figures, 3 tables, few typos corrected, version to
appear in Nucl. Phys.
Hairy rotating black string in the Einstein-Maxwell-Higgs system
We show numerically that the Abelian Higgs field equations in the background
of a four-dimensional rotating charged black string have vortex solutions.
These solutions which have axial symmetry show that the rotating black string
can support the Abelian Higgs field as hair. We find that one encounters with
an electric field coupled to the Higgs scalar field for the case of rotating
black string. This electric field is due to an electric charge per unit length,
which increases as the rotation parameter becomes larger. We also find that the
vortex thickness decreases as the rotation parameter grows up. Finally we
consider the self-gravity of the Abelian Higgs field and show that the effect
of the vortex is to induce a deficit angle in the metric under consideration
which decreases as the rotation parameter increases.Comment: 16 pages, 8 figures, references added, some minor corrections don
Vortex Holography
We show that the Abelian Higgs field equations in the four dimensional anti
de Sitter spacetime have a vortex line solution. This solution, which has
cylindrical symmetry in AdS, is a generalization of the flat spacetime
Nielsen-Olesen string. We show that the vortex induces a deficit angle in the
AdS spacetime that is proportional to its mass density. Using the AdS/CFT
correspondence, we show that the mass density of the string is uniform and dual
to the discontinuity of a logarithmic derivative of correlation function of the
boundary scalar operator.Comment: LaTeX, 20 pages, 4 eps figures, references and two paragraphs added,
to appear in Nucl. Phys.
The Moduli Space and Monodromies of the Supersymmetric Yang-Mills Theory with any Lie Gauge Groups
We propose a unified scheme for finding the hyperelliptic curve of SUSY
YM theory with any Lie gauge groups. Our general scheme gives the well known
results for classical gauge groups and exceptional group. In particular,
we present the curve for the exceptional gauge groups and
check consistency condition for them. The exact monodromies and the dyon
spectrum of these theories are determined. We note that for any Lie gauge
groups, the exact monodromies could be obtained only from the Cartan matrix.Comment: 17 pages, LaTeX fil
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