On the algebra A(h,eta)(osp(2 vertical bar 2)((2))) and free boson representations

Authors
Citation
N. Mackay et L. Zhao, On the algebra A(h,eta)(osp(2 vertical bar 2)((2))) and free boson representations, J PHYS A, 34(32), 2001, pp. 6313-6323
Citations number
11
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
32
Year of publication
2001
Pages
6313 - 6323
Database
ISI
SICI code
0305-4470(20010817)34:32<6313:OTAAVB>2.0.ZU;2-K
Abstract
A two-parameter quantum deformation of the affine Lie superalgebra osp(2\2) ((2)) is introduced and studied in some detail. This algebra is the first e xample associated with nonsimply laced and twisted root systems of a quantu m current algebra with the structure of a so-called infinite Hopf family of (super)algebras. A representation of this algebra at c = 1 is realized in the product Fock space of two commuting sets of Heisenberg algebras.