988 research outputs found
Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
Supersymmetric quantum Hall liquids are constructed on a supersphere in a
supermonopole background. We derive a supersymmetric generalization of the
Laughlin wavefunction, which is a ground state of a hard-core
invariant Hamiltonian. We also present excited topological objects, which are
fractionally charged deficits made by super Hall currents. Several relations
between quantum Hall systems and their supersymmetric extensions are discussed.Comment: Typos corrected, 5 pages, to be published in PR
Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid
We develop a supersymmetric extension of Chern-Simons theory and
Chern-Simons-Landau-Ginzburg theory for supersymmetric quantum Hall liquid.
Supersymmetric counterparts of topological and gauge structures peculiar to the
Chern-Simons theory are inspected in the supersymmetric Chern-Simons theory. We
also explore an effective field theoretical description for the supersymmetric
quantum Hall liquid. The key observation is the the charge-flux duality. Based
on the duality, we derive a dual supersymmetric Chern-Simons-Landau-Ginzburg
theory, and discuss physical properties of the topological excitations in
supersymmetric quantum Hall liquid.Comment: 12 pages, no figures, published version in PR
Spin 3/2 dimer model
We present a parent Hamiltonian for weakly dimerized valence bond solid
states for arbitrary half-integral S. While the model reduces for S=1/2 to the
Majumdar-Ghosh Hamiltonian we discuss this model and its properties for S=3/2.
Its degenerate ground state is the most popular toy model state for discussing
dimerization in spin 3/2 chains. In particular, it describes the impurity
induced dimer phase in Cr8Ni as proposed recently. We point out that the
explicit construction of the Hamiltonian and its main features apply to
arbitrary half-integral spin S.Comment: 5+ pages, 6 figures; to appear in Europhysics Letter
Mineral Chemistry and Reflectance Spectra for the Anorthosite Clast in Lunar Meteorite Dhofar 489 with Reference to Lunar Farside Crust.
第2回極域科学シンポジウム/第34回南極隕石シンポジウム 11月18日(金) 国立国語研究所 2階講
Experimental Apparatus for Critical Current Measurement above 5 K Using Bi-based oxide current leads
Harmonic Superspace Gaugeon Formalism for the ABJM Theory
In this paper we will analyse the ABJM theory in harmonic superspace. The
harmonic superspace variables will be parameterized by the coset
and thus will have manifest supersymmetry. We will study the
quantum gauge transformations and the BRST transformations of this theory in
gaugeon formalism. We will use this BRST symmetry to project out the physical
sub-space from the total Hilbert space. We will also show that the evolution of
the -matrix is unitary for this ABJM theory in harmonic
superspace.Comment: 11, pages, 0 figures, accepted for publication in Mod. Phys. Lett.
Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems
In a certain class of differential-difference equations for dissipative
systems, we show that hyperbolic tangent model is the only the nonlinear system
of equations which can admit some particular solutions of the Toda lattice. We
give one parameter family of exact solutions, which include as special cases
the Toda lattice solutions as well as the Whitham's solutions in the Newell's
model. Our solutions can be used to describe temporal-spatial density patterns
observed in the optimal velocity model for traffic flow.Comment: Latex, 13 pages, 1 figur
In situ observations of "cold trap" dehydration in the western tropical Pacific
International audienceWater vapor sonde observations were conducted at Bandung, Indonesia (6.90 S, 107.60 E) and Tarawa, Kiribati (1.35 N, 172.91 E) in December 2003 to examine the efficiency of the "cold trap'' dehydration in the tropical tropopause layer (TTL). Trajectory analysis based on bundles of trajectories suggest that the modification of air parcels' identity due to irreversible mixing by the branching-out and merging-in of nearby trajectories is found to be an important factor, in addition to the routes air parcels are supposed to follow, for interpreting the water vapor concentrations observed by radiosondes in the TTL. Clear correspondence between the observed water vapor concentration and the estimated temperature history of air parcels is found showing that dry air parcels are exposed to low temperatures while humid air parcels do not experience cold conditions during advection, in support of the "cold trap'' hypothesis. It is suggested that the observed air parcel retained the water vapor by roughly twice as much as the minimum saturation mixing ratio after its passage through the "cold trap,'' although appreciable uncertainties remain
The Split-Algebras and Non-compact Hopf Maps
We develop a noncompact version of the Hopf maps based on the split algebras.
The split algebras consist of three species: split-complex numbers, split
quaternions, and split octonions. They correspond to three noncompact Hopf maps
that represent topological maps between hyperboloids in different dimensions
with hyperboloid bundle. We realize such noncompact Hopf maps in two ways: one
is to utilize the split-imaginary unit, and the other is to utilize the
ordinary imaginary unit. Topological structures of the hyperboloid bundles are
explored, and the canonical connections are naturally regarded as noncompact
gauge field of monopoles.Comment: 40 pages, no figures, + 8 pages, discussions and references added,
published versio
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