6,980 research outputs found
Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
We construct ten-dimensional supergravity solutions corresponding to the near
horizon limit of IIB fivebranes wrapping special Lagrangian three-cycles of
constant curvature. The case of branes wrapping a three-sphere provides a
gravity dual of pure N=2 super-Yang-Mills theory in D=3. The non-trivial part
of the solutions are seven manifolds that admit two G_2 structures each of
which is covariantly constant with respect to a different connection with
torsion. We derive a formula for the generalised calibration for this general
class of solutions. We discuss analogous aspects of the geometry that arises
when fivebranes wrap other supersymmetric cycles which lead to Spin(7) and
SU(N) structures. In some cases there are two covariantly constant structures
and in others one.Comment: v2: 26 pages, 3 figures, 1 table. Section 7 slightly expanded,
references adde
Probing Non-Toric Geometry with Rotating Membranes
Recently Martelli and Sparks presented the first non-toric AdS_4/CFT_3
duality relation between M-theory on AdS_4 x V_{5,2}/Z_k and a class of
three-dimensional N=2 quiver Chern-Simons-matter theories. V_{5,2} is a
seven-dimensional homogeneneous Sasaki-Einstein manifold with isometry group
SO(5)xU(1)_R, which is in general broken to SU(2)xU(1)xU(1)_R by the orbifold
projection if k>1. The dual field theory is described by the A_1 quiver, U(N)_k
x U(N)_{-k} gauge group, four bifundamentals, two adjoint chiral multiplets
interacting via a cubic superpotential. We explore this proposal by studying
various classical membrane solutions moving in V_{5,2}. Rotating membrane
solutions of folded, wrapped, spike, and giant magnon types are presented with
their dispersion relations. We also discuss their dual operators in the
Chern-Simons-matter theory.Comment: 20 pages, 1 figure
M-theory and Seven-Dimensional Inhomogeneous Sasaki-Einstein Manifolds
Seven-dimensional inhomogeneous Sasaki-Einstein manifolds
present a challenging example of AdS/CFT correspondence. At present, their
field theory duals for base are proposed only within a
restricted range as quiver Chern-Simons-matter
theories with gauge group, nine bifundamental
chiral multiplets interacting through a cubic superpotential. To further
elucidate this correspondence, we use particle approximation both at classical
and quantum level. We setup a concrete AdS/CFT mapping of conserved quantities
using geodesic motions, and turn to solutions of scalar Laplace equation in
. The eigenmodes also provide an interesting subset of Kaluza-Klein
spectrum for supergravity in , and are dual
to protected operators written in terms of matter multiplets in the dual
conformal field theory.Comment: v2 refs added. 19 pages 1 figur
Operator Counting for N=2 Chern-Simons Gauge Theories with Chiral-like Matter Fields
The localization formula of Chern-Simons quiver gauge theory on nicely
reproduces the geometric data such as volume of Sasaki-Einstein manifolds in
the large- limit, at least for vector-like models. The validity of
chiral-like models is not established yet, due to technical problems in both
analytic and numerical approaches. Recently Gulotta, Herzog and Pufu suggested
that the counting of chiral operators can be used to find the eigenvalue
distribution of quiver matrix models. In this paper we apply this method to
some vector-like or chiral-like quiver theories, including the triangular
quivers with generic Chern-Simons levels which are dual to in-homogeneous
Sasaki-Einstein manifolds . The result is consistent
with AdS/CFT and the volume formula. We discuss the implication of our
analysis.Comment: 23 pages; v2. revised version; v3. corrected typos and clarified
argument
AdS(3) Solutions of IIB Supergravity from D3-branes
We consider pure D3-brane configurations of IIB string theory which lead to
supersymmetric solutions containing an AdS factor. They can provide new
examples of AdS/CFT examples on D3-branes whose worldvolume is
partially compactified. When the internal 7 dimensional space is non-compact,
they can be identified as supersymmetric fluctuations of higher dimensional AdS
solutions and are in general dual to 1/8-BPS operators thereof. We find that
supersymmetry requires the 7 dimensional space take the form of a warped U(1)
fibration over a 6 dimensional Kahler manifold.Comment: 10 pages, no figure, JHEP3.cls; v3: corrected errors in the published
versio
Semiclassical strings in marginally deformed toric AdS/CFT
We study string solutions in the beta-deformed Sasaki-Einstein gauge/gravity
dualities. We find that the BPS point-like strings move in the submanifolds
where the two U(1) circles shrink to zero size. In the corresponding T^3
fibration description, the strings live on the edges of the polyhedron, where
the T^3 fibration degenerates to T^1. Moreover, we find that for each deformed
Sasaki-Einstein manifold the BPS string solutions exist only for particular
values of the deformation parameter. Our results imply that in the dual field
theory the corresponding BPS operators exist only for these particular values
of the deformation parameter we find. We also examine the non-BPS strings,
derive their dispersion relations and compare them with the undeformed ones.
Finally, we comment on the range of the validity of our solutions and their
dependence on the deformation parameter.Comment: 29 pages, 9 figure
Wheeler-DeWitt Equation in AdS/CFT Correspondence
We discuss a quantum extension of the holographic RG flow equation obtained
previously from the classical Hamiltonian constraint in the bulk AdS
supergravity. The Wheeler-DeWitt equation is proposed to generate the extended
RG flow and to produce 1/N subleading corrections systematically. Our
formulation in five dimensions is applied to the derivation of the Weyl anomaly
of boundary N=4 SU(N) super-Yang-Mills theory beyond the large N limit. It is
shown that subleading 1/N^2 corrections arising from fields in AdS_5
supergravity agree with those obtained recently by Mansfield et al. using their
Schroedinger equation, thereby guaranteeing to reproduce the exact form of the
boundary Weyl anomaly after summing up all of the KK modes.Comment: 7 pages, LaTex, references adde
The Author Response: EML4-ALK Fusion Gene in Korean Non-Small Cell Lung Cancer
I would like to thank the interest and comments on our paper entitled “EML4-ALK fusion gene in Korean non-small cell lung cancer ” (1). In this study, we examined EML4-ALK fusion variants in Korean non-small cell lung cancers (NSCLCs) via reversetranscriptase-polymerase chain reaction (RT-PCR) using primers designed to detect EML4-ALK fusion variants (variants 1, 2, 3a, 3b, 4, 5a, 5b, 6, and 7) that have been previously identified (2, 3). Our study demonstrated the spectrum and frequency of EML4-ALK fusion variants in Korean NSCLCs, which were different from those in other ethnic populations. I agree with the comment that the RT-PCR technology for identification of ALK fusion variants has several limitations. As pointed out in this comment, there are multiple EML4-ALK fusion variants and non-EML4 fusion partners, such as KIF5B, and KLC1 (2-5); therefore, any PCR-based strategy must incorporat
Geometries with Killing Spinors and Supersymmetric AdS Solutions
The seven and nine dimensional geometries associated with certain classes of
supersymmetric and solutions of type IIB and D=11 supergravity,
respectively, have many similarities with Sasaki-Einstein geometry. We further
elucidate their properties and also generalise them to higher odd dimensions by
introducing a new class of complex geometries in dimensions, specified
by a Riemannian metric, a scalar field and a closed three-form, which admit a
particular kind of Killing spinor. In particular, for , we show that
when the geometry in dimensions is a cone we obtain a class of
geometries in dimensions, specified by a Riemannian metric, a scalar
field and a closed two-form, which includes the seven and nine-dimensional
geometries mentioned above when , respectively. We also consider various
ansatz for the geometries and construct infinite classes of explicit examples
for all .Comment: 28 page
On a class of 4D Kahler bases and AdS_5 supersymmetric Black Holes
We construct a class of toric Kahler manifolds, M_4, of real dimension four,
a subset of which corresponds to the Kahler bases of all known 5D
asymptotically AdS_5 supersymmetric black-holes. In a certain limit, these
Kahler spaces take the form of cones over Sasaki spaces, which, in turn, are
fibrations over toric manifolds of real dimension two. The metric on M_4 is
completely determined by a single function H(x), which is the conformal factor
of the two dimensional space. We study the solutions of minimal five
dimensional gauged supergravity having this class of Kahler spaces as base and
show that in order to generate a five dimensional solution H(x) must obey a
simple sixth order differential equation. We discuss the solutions in detail,
which include all known asymptotically AdS_5 black holes as well as other
spacetimes with non-compact horizons. Moreover we find an infinite number of
supersymmetric deformations of these spacetimes with less spatial isometries
than the base space. These deformations vanish at the horizon, but become
relevant asymptotically.Comment: 34 pages, 3 figures. v2: formula (8.35) and other minor typos
corrected; references added; accepted for publication in JHE
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