New Level-0 Action of $U_q(\widehat{sl}_2)$ on Level-1 Modules
Abstract
A level-0 action of $U_q(\widehat{sl}_2)$ is defined on the sum of level-1 irreducible highest weight modules. With the aid of the affine Hecke algebras, this action is realized on the basis created by the vertex operators. This is a $q$-analogue of the Yangian symmetry in conformal field theory.
- Publication:
-
eprint arXiv:q-alg/9505009
- Pub Date:
- May 1995
- DOI:
- 10.48550/arXiv.q-alg/9505009
- arXiv:
- arXiv:q-alg/9505009
- Bibcode:
- 1995q.alg.....5009J
- Keywords:
-
- Mathematics - Quantum Algebra;
- High Energy Physics - Theory
- E-Print:
- 24 pages, LaTeX 2.09 or LaTeX2e (and preferably amsfonts). Contribution to the Proceedings of the meeting `Statistical Mechanics and Quantum Field Theory', USC, May 16-21, 1994. (1st revision: Some technical changes regarding the completions and other minor corrections have been made.) (new revision: corrections in section 4.2)