A deformation of quantum affine algebra in squashed Wess-Zumino-Novikov-Witten models
Journal Article
·
· Journal of Mathematical Physics
- Department of Physics, Kyoto University, Kyoto 606-8502 (Japan)
We proceed to study infinite-dimensional symmetries in two-dimensional squashed Wess-Zumino-Novikov-Witten models at the classical level. The target space is given by squashed S³ and the isometry is SU(2){sub L}×U(1){sub R}. It is known that SU(2){sub L} is enhanced to a couple of Yangians. We reveal here that an infinite-dimensional extension of U(1){sub R} is a deformation of quantum affine algebra, where a new deformation parameter is provided with the coefficient of the Wess-Zumino term. Then we consider the relation between the deformed quantum affine algebra and the pair of Yangians from the viewpoint of the left-right duality of monodromy matrices. The integrable structure is also discussed by computing the r/s-matrices that satisfy the extended classical Yang-Baxter equation. Finally, two degenerate limits are discussed.
- OSTI ID:
- 22306210
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 6 Vol. 55; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
Similar Records
A Global Operator Approach to Wess-Zumino-Novikov-Witten models
Fusion rules and four-point functions in the AdS{sub 3} Wess-Zumino-Novikov-Witten model
Journal Article
·
Tue Nov 13 23:00:00 EST 2007
· AIP Conference Proceedings
·
OSTI ID:21039279
Fusion rules and four-point functions in the AdS{sub 3} Wess-Zumino-Novikov-Witten model
Journal Article
·
Wed Apr 15 00:00:00 EDT 2009
· Physical Review. D, Particles Fields
·
OSTI ID:21308363