Quasiboson representations of sl(n+1) and generalized quantum statistics
High Energy Physics - Theory
2007-05-23 v1 Condensed Matter
Mathematical Physics
math.MP
Quantum Algebra
Nuclear Theory
Quantum Physics
Abstract
Generalized quantum statistics will be presented in the context of representation theory of Lie (super)algebras. This approach provides a natural mathematical framework, as is illustrated by the relation between para-Bose and para-Fermi operators and Lie (super)algebras of type B. Inspired by this relation, A-statistics is introduced, arising from representation theory of the Lie algebra A_n. The Fock representations for A_n=sl(n+1) provide microscopic descriptions of particular kinds of exclusion statistics, which may be called quasi-Bose statistics. It is indicated that A-statistics appears to be the natural statistics for certain lattice models in condensed matter physics.
Keywords
Cite
@article{arxiv.hep-th/0009108,
title = {Quasiboson representations of sl(n+1) and generalized quantum statistics},
author = {T. D. Palev and J. Van der Jeugt},
journal= {arXiv preprint arXiv:hep-th/0009108},
year = {2007}
}
Comments
LaTex-file, 10 pages