9,576 research outputs found
The Tomonaga-Luttinger Model and the Chern-Simons Theory for the Edges of Multi-layer Fractional Quantum Hall Systems
Wen's chiral Tomonaga-Luttinger model for the edge of an m-layer quantum Hall
system of total filling factor nu=m/(pm +- 1) with even p, is derived as a
random-phase approximation of the Chern-Simons theory for these states. The
theory allows for a description of edges both in and out of equilibrium,
including their collective excitation spectrum and the tunneling exponent into
the edge. While the tunneling exponent is insensitive to the details of a
nu=m/(pm + 1) edge, it tends to decrease when a nu=m/(pm - 1) edge is taken out
of equilibrium. The applicability of the theory to fractional quantum Hall
states in a single layer is discussed.Comment: 15 page
Parafermions, parabosons and representations of so(\infty) and osp(1|\infty)
The goal of this paper is to give an explicit construction of the Fock spaces
of the parafermion and the paraboson algebra, for an infinite set of
generators. This is equivalent to constructing certain unitary irreducible
lowest weight representations of the (infinite rank) Lie algebra so(\infty) and
of the Lie superalgebra osp(1|\infty). A complete solution to the problem is
presented, in which the Fock spaces have basis vectors labelled by certain
infinite but stable Gelfand-Zetlin patterns, and the transformation of the
basis is given explicitly. We also present expressions for the character of the
Fock space representations
The Paths of Unification In The GUST With The G x G Gauge Groups of E(8) x E(8)
In the framework of the four dimensional heterotic superstring with free
fermions we discuss the rank eight and/or sixteen Grand Unified String Theories
(GUST) which contain the SU(3)_H - gauge family symmetry. We explicitly
investigate the paths of the unification in the GUST with gauge symmetry G x G
= [SU(5) x U(1) x (SU(3) x U(1))_H]^2. We show that the GUSTs with the G x G
gauge group allow to make the scale of unification to be consistent with the
string scale M_SU = g_{string} * 5 * 10^17 GeV.Comment: 18 pages, 2 Postscript figures, uses epsf.st
Dynamics of Fluxon Lattice in Two Coupled Josephson Junctions
We study theoretically the dynamics of a fluxon Lattice (FL) in two coupled
Josephson junctions. We show that when the velocity of the moving FL exceeds
certain values , sharp resonances arise in the system which are
related to the excitation of the optical and acoustic collective modes. In the
interval a reconstruction of the FL occurs. We also establish that
one can excite localized nonlinear distortions (dislocations) which may
propagate through the FL and carry an arbitrary magnetic flux.Comment: 4 pages, 3 figures, corected typo
The Fermion Generations Problem in the Gust in the Free World-Sheet Fermion Formulation
In the framework of the four dimensional heterotic superstring with free
fermions we present a revised version of the rank eight Grand Unified String
Theories (GUST) which contain the -gauge family symmetry. We also
develop some methods for building of corresponding string models. We explicitly
construct GUST with gauge symmetry and or
and consider the full massless spectrum for our string models.
We consider for the observable gauge symmetry the diagonal subgroup
of the rank 16 group or . We discuss the possible fermion matter and Higgs sectors in
these theories. We study renormalizable and nonrenormolizable contributions to
the superpotential. There has to exist "superweak" light chiral matter () in GUST under consideration. The understanding of quark and lepton mass
spectra and family mixing leaves a possibility for the existence of an
unusually low mass breaking scale of the family gauge symmetry (some
TeV).Comment: 68 page
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