3,333 research outputs found
Highest weight representations of the quantum algebra U_h(gl_\infty)
A class of highest weight irreducible representations of the quantum algebra
U_h(gl_\infty) is constructed. Within each module a basis is introduced and the
transformation relations of the basis under the action of the Chevalley
generators are explicitly written.Comment: 7 pages, PlainTe
parafermions from constrained WZNW theories
The conformal field theory based on the coset construction is
treated as the WZNW theory for the affine Lie algebra with the
constrained subalgebra.Using a modification of the generalized
canonical quantization method generators and primary fields of an extended
symmetry algebra are found for arbitrary d.Comment: 14 pages,latex,misprints in formulas 26,40,45 corrected,a reference
adde
Explicit determination of a 727-dimensional root space of the hyperbolic Lie algebra
The 727-dimensional root space associated with the level-2 root \bLambda_1
of the hyperbolic Kac--Moody algebra is determined using a recently
developed string theoretic approach to hyperbolic algebras. The explicit form
of the basis reveals a complicated structure with transversal as well as
longitudinal string states present.Comment: 12 pages, LaTeX 2
An analytically solvable model of the effect of magnetic breakdown on angle-dependent magnetoresistance in a quasi-two-dimensional metal
We have developed an analytical model of angle-dependent magnetoresistance
oscillations (AMROs) in a quasi-two-dimensional metal in which magnetic
breakdown occurs. The model takes account of all the contributions from
quasiparticles undergoing both magnetic breakdown and Bragg reflection at each
junction and allows extremely efficient simulation of data which can be
compared with recent experimental results on the organic metal
kappa-ET2Cu(NCS)2. AMROs resulting from both closed and open orbits emerge
naturally at low field, and the model enables the transition to breakdown-AMROs
with increasing field to be described in detail.Comment: 4 pages, 3 figure
Lie group weight multiplicities from conformal field theory
Dominant weight multiplicities of simple Lie groups are expressed in terms of
the modular matrices of Wess-Zumino-Witten conformal field theories, and
related objects. Symmetries of the modular matrices give rise to new relations
among multiplicities. At least for some Lie groups, these new relations are
strong enough to completely fix all multiplicities.Comment: 12 pages, Plain TeX, no figure
Vector Coherent State Realization of Representations of the Affine Lie Algebra
The method of vector coherent states is generalized to study representations
of the affine Lie algebra . A large class of highest weight irreps
is explicitly constructed, which contains the integrable highest weight irreps
as special cases.Comment: 8 pages plain latex. To appear in J. Phys.
Orthogonal Decomposition of Some Affine Lie Algebras in Terms of their Heisenberg Subalgebras
In the present note we suggest an affinization of a theorem by Kostrikin
et.al. about the decomposition of some complex simple Lie algebras
into the algebraic sum of pairwise orthogonal Cartan subalgebras. We point out
that the untwisted affine Kac-Moody algebras of types ( prime,
), can be decomposed into
the algebraic sum of pairwise or\-tho\-go\-nal Heisenberg subalgebras. The
and cases are discussed in great detail. Some possible
applications of such decompositions are also discussed.Comment: 16 pages, LaTeX, no figure
On a Bosonic-Parafermionic Realization of
We realize the current algebra at arbitrary level in
terms of one deformed free bosonic field and a pair of deformed parafermionic
fields. It is shown that the operator product expansions of these parafermionic
fields involve an infinite number of simple poles and simple zeros, which then
condensate to form a branch cut in the classical limit . Our
realization coincides with those of Frenkel-Jing and Bernard when the level
takes the values 1 and 2 respectively.Comment: 8 pages, CRM-220
On Vertex Operator Construction of Quantum Affine Algebras
We describe the construction of the quantum deformed affine Lie algebras
using the vertex operators in the free field theory. We prove the Serre
relations for the quantum deformed Borel subalgebras of affine algebras, namely
the case of is considered in detail. We provide some
formulas for generators of affine algebra.Comment: LaTeX, 9 pages; typos corrected, references adde
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