6,322 research outputs found
Comments on AdS2 solutions of D=11 Supergravity
We study the supersymmetric solutions of 11-dimensional supergravity with a
factor of made of M2-branes. Such solutions can provide gravity duals
of superconformal quantum mechanics, or through double Wick rotation, the
generic bubbling geometry of M-theory which are 1/16-BPS. We show that, when
the internal manifold is compact, it should take the form of a warped
U(1)-fibration over an 8-dimensional Kahler space.Comment: 11 pages, no figure, JHEP3.cl
Wiedemann-Franz violation in the vortex state of a d-wave superconductor
We show that the Wiedemann-Franz law is violated in the vortex state of a
d-wave superconductor at zero temperature. We use a semiclassical approach,
which includes the Doppler shift on the quasiparticles as well as the Andreev
scattering from a random distribution of vortices. We also show that the vertex
corrections to the electrical conductivity due to the anisotropy of impurity
scattering become unimportant in the presence of a sufficiently large magnetic
field.Comment: To be published in Physica C as a proceeding of M2S-HTSC Rio 200
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
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
1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
In this paper we generalize the work of Lin, Lunin and Maldacena on the
classification of 1/2-BPS M-theory solutions to a specific class of 1/4-BPS
configurations. We are interested in the solutions of 11 dimensional
supergravity with symmetry, and it is shown that such
solutions are constructed over a one-parameter familiy of 4 dimensional almost
Calabi-Yau spaces. Through analytic continuations we can obtain M-theory
solutions having or factors. It is shown
that our result is equivalent to the solutions which have been recently
reported as the near-horizon geometry of M2 or M5-branes wrapped on 2 or
4-cycles in Calabi-Yau threefolds. We also discuss the hierarchy of M-theory
bubbles with different number of supersymmetries.Comment: 22 pages, JHEP3.cls; v2. revised version. showed that our results
agree with previous works hep-th/0605146 and hep-th/061219
Supersymmetric AdS_3, AdS_2 and Bubble Solutions
We present new supersymmetric AdS_3 solutions of type IIB supergravity and
AdS_2 solutions of D=11 supergravity. The former are dual to conformal field
theories in two dimensions with N=(0,2) supersymmetry while the latter are dual
to conformal quantum mechanics with two supercharges. Our construction also
includes AdS_2 solutions of D=11 supergravity that have non-compact internal
spaces which are dual to three-dimensional N=2 superconformal field theories
coupled to point-like defects. We also present some new bubble-type solutions,
corresponding to BPS states in conformal theories, that preserve four
supersymmetries.Comment: v2: 33 pages, published version in JHE
Consistent supersymmetric Kaluza--Klein truncations with massive modes
We construct consistent Kaluza--Klein reductions of D=11 supergravity to four
dimensions using an arbitrary seven-dimensional Sasaki--Einstein manifold. At
the level of bosonic fields, we extend the known reduction, which leads to
minimal N=2 gauged supergravity, to also include a multiplet of massive fields,
containing the breathing mode of the Sasaki--Einstein space, and still
consistent with N=2 supersymmetry. In the context of flux compactifications,
the Sasaki--Einstein reductions are generalizations of type IIA SU(3)-structure
reductions which include both metric and form-field flux and lead to a massive
universal tensor multiplet. We carry out a similar analysis for an arbitrary
weak G_2 manifold leading to an N=1 supergravity with massive fields. The
straightforward extension of our results to the case of the seven-sphere would
imply that there is a four-dimensional Lagrangian with N=8 supersymmetry
containing both massless and massive spin two fields. We use our results to
construct solutions of M-theory with non-relativistic conformal symmetry.Comment: 33 pages. v2: Added section on skew-whiffed solutions and some brief
comments on holographic superconductors. v3: typos corrected, version to be
published in JHE
String compactification, QCD axion and axion-photon-photon coupling
It is pointed out that there exist a few problems to be overcome toward an
observable sub-eV QCD axion in superstring compactification. We give a general
expression for the axion decay constant. For a large domain wall number
, the axion decay constant can be substantially lowered from a generic
value of a scalar singlet VEV. The Yukawa coupling structure in the recent
model is studied completely, including the needed nonrenormalizable
terms toward realistic quark and lepton masses. In this model we find an
approximate global symmetry and vacuum so that a QCD axion results but its
decay constant is at the GUT scale. The axion-photon-photon coupling is
calculated for a realistic vacuum satisfying the quark and lepton mass matrix
conditions. It is the first time calculation of in
realistic string compactifications: .Comment: 33 pages, 2 figures, JHEP format, some errors in the superpotential
couplings are corrected and the following discussions are changed
correspondingl
Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics
The supergravity description of various configurations of supersymmetric
M-fivebranes wrapped on calibrated cycles of special holonomy manifolds is
studied. The description is provided by solutions of eleven-dimensional
supergravity which interpolate smoothly between a special holonomy manifold and
an event horizon with Anti-de Sitter geometry. For known examples of Anti-de
Sitter solutions, the associated special holonomy metric is derived. One
explicit Anti-de Sitter solution of M-theory is so treated for fivebranes
wrapping each of the following cycles: K\"{a}hler cycles in Calabi-Yau two-,
three- and four-folds; special lagrangian cycles in three- and four-folds;
associative three- and co-associative four-cycles in manifolds; complex
lagrangian four-cycles in manifolds; and Cayley four-cycles in
manifolds. In each case, the associated special holonomy metric is
singular, and is a hyperbolic analogue of a known metric. The analogous known
metrics are respectively: Eguchi-Hanson, the resolved conifold and the
four-fold resolved conifold; the deformed conifold, and the Stenzel four-fold
metric; the Bryant-Salamon-Gibbons-Page-Pope metrics on an
bundle over , and an bundle over or ;
the Calabi hyper-K\"{a}hler metric on ; and the
Bryant-Salamon-Gibbons-Page-Pope metric on an bundle
over . By the AdS/CFT correspondence, a conformal field theory is
associated to each of the new singular special holonomy metrics, and defines
the quantum gravitational physics of the resolution of their singularities.Comment: 1+52 page
Photoplastic SU-8 probes for Near-Field Optical Applications
We propose a new attempt to solve the manufacturing problem of SNOM probes by a novel wafer-scale microfabrication process for sharp pyramidal and bright photoplastic probes. The probes are fabricated of a transparent photoplastic material (SU-8) which allows simple batch fabrication based on spin coating and subsequent near-ultraviolet exposure and development steps. SU-8 consists of the epoxy-based EPON SU-8 resin photosensitized with a triaryl sulfonium salt. The main interest for MOEMS applications is that SU-8 is transparent. These combined advantages are used here to define a sharp, transparent and high aspect ratio probe dedicated for near-field optical application
- âŠ