1,984 research outputs found
Lectures on Mirror Symmetry
We give an introduction to mirror symmetry of strings on Calabi-Yau manifolds
with an emphasis on its applications e.g. for the computation of Yukawa
couplings. We introduce all necessary concepts and tools such as the basics of
toric geometry, resolution of singularities, construction of mirror pairs,
Picard-Fuchs equations, etc. and illustrate all of this on a non-trivial
example. Extended version of a lecture given at the Third Baltic Student
Seminar, Helsinki September 1993Comment: LMU-TPW-94-02, 45 pages, harvma
Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces
We extend the discussion of mirror symmetry, Picard-Fuchs equations,
instanton-corrected Yukawa couplings, and the topological one-loop partition
function to the case of complete intersections with higher-dimensional moduli
spaces. We will develop a new method of obtaining the instanton-corrected
Yukawa couplings through a close study of the solutions of the Picard-Fuchs
equations. This leads to closed formulas for the prepotential for the K\"ahler
moduli fields induced from the ambient space for all complete intersections in
non singular weighted projective spaces. As examples we treat part of the
moduli space of the phenomenologically interesting three-generation models that
are found in this class. We also apply our method to solve the simplest model
in which a topology change was observed and discuss examples of complete
intersections in singular ambient spaces.Comment: 50 page
Potential Profiling of the Nanometer-Scale Charge Depletion Layer in n-ZnO/p-NiO Junction Using Photoemission Spectroscopy
We have performed a depth-profile analysis of an all-oxide p-n junction diode
n-ZnO/p-NiO using photoemission spectroscopy combined with Ar-ion sputtering.
Systematic core-level shifts were observed during the gradual removal of the
ZnO overlayer, and were interpreted using a simple model based on charge
conservation. Spatial profile of the potential around the interface was
deduced, including the charge-depletion width of 2.3 nm extending on the ZnO
side and the built-in potential of 0.54 eV
Mechanism of phase transitions and the electronic density of states in (La,Sm)FeAsOF from ab initio calculations
The structure and electronic density of states in layered
LnFeAsOF (Ln=La,Sm; =0.0, 0.125, 0.25) are investigated using
density functional theory. For the =0.0 system we predict a complex
potential energy surface, formed by close-lying single-well and double-well
potentials, which gives rise to the tetragonal-to-orthorhombic structural
transition, appearance of the magnetic order, and an anomaly in the specific
heat capacity observed experimentally at temperatures below 140--160 K.
We propose a mechanism for these transitions and suggest that these phenomena
are generic to all compounds containing FeAs layers. For 0.0 we demonstrate
that transition temperatures to the superconducting state and their dependence
on correlate well with the calculated magnitude of the electronic density
of states at the Fermi energy.Comment: 4 pages, 3 figures, 1 tabl
Exceptional String: Instanton Expansions and Seiberg-Witten Curve
We investigate instanton expansions of partition functions of several toric
E-string models using local mirror symmetry and elliptic modular forms. We also
develop a method to obtain the Seiberg--Witten curve of E-string with arbitrary
Wilson lines with the help of elliptic functions.Comment: 71 pages, three Wilson line
LaCo2B2: A Co-based layered superconductor with a ThCr2Si2-type structure
LaCo2B2 with a ThCr2Si2-type structure composed of alternately stacked La and
CoB layers exhibits metallic electrical conductivity and Pauli paramagnetic
behavior down to 2K. Bulk superconductivity with a Tc of ~4K emerges upon
substitution with dopant elements; i.e., isovalent substitution to form
(La1-xYx)Co2B2, or aliovalent substitution to form La(Co1-xFex)2B2. Highly
covalent bonding between Co 3d and B 2p levels in the CoB layers, which is
caused by the B 2p level being shallower than the Fermi level, removes magnetic
ordering from Co 3d electrons even in the undoped samples.Comment: 3 figure
A Simple Algebraic Derivation of the Covariant Anomaly and Schwinger Term
An expression for the curvature of the "covariant" determinant line bundle is
given in even dimensional space-time. The usefulness is guaranteed by its
prediction of the covariant anomaly and Schwinger term. It allows a parallel
derivation of the consistent anomaly and Schwinger term, and their covariant
counterparts, which clarifies the similarities and differences between them. In
particular, it becomes clear that in contrary to the case for anomalies, the
difference between the consistent and covariant Schwinger term can not be
extended to a local form on the space of gauge potentials.Comment: 16 page
Non-Supersymmetric Stringy Attractors
In this paper we examine the stability of non-supersymmetric attractors in
type IIA supergravity compactified on a Calabi-Yau manifold, in the presence of
sub-leading corrections to the N=$ pre-potential. We study black hole
configurations carrying D0-D6 and D0-D4 charges. We consider the O(1)
corrections to the pre-potential given by the Euler number of the Calabi-Yau
manifold. We argue that such corrections in general can not lift the zero modes
for the D0-D6 attractors. However, for the attractors carrying the D0-D4
charges, they affect the zero modes in the vector multiplet sector. We show
that, in the presence of such O(1) corrections, the D0-D4 attractors can either
be stable or unstable depending on the geometry of the underlying Calabi-Yau
manifold, and on the specific values of the charges they carry.Comment: corrected typos, minor modification
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