SUBALGEBRAS OF W-1+INFINITY AND THEIR QUASIFINITE REPRESENTATIONS

Authors
AWATA H FUKUMA M MATSUO Y ODAKE S
Citation
H. Awata et al., SUBALGEBRAS OF W-1+INFINITY AND THEIR QUASIFINITE REPRESENTATIONS, Journal of physics. A, mathematical and general, 28(1), 1995, pp. 105-112
Citations number
19
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
1
Year of publication
1995
Pages
105 - 112
Database
ISI
SICI code
0305-4470(1995)28:1<105:SOWATQ>2.0.ZU;2-W
Abstract
We propose a series of new subalgebras of the W-1+infinity algebra par ametrized by polynomials p(w), and study their quasifinite representat ions. We also investigate the relation between such subalgebras and th e gl(infinity) algebra. As an example, we investigate the W-infinity, algebra which corresponds to the case p(w) = w, presenting its free fi eld realizations and Kac determinants at lower levels.