On Affine Fusion and the Phase Model
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Affine Fusion and the Phase Model
|
|
| Creator |
Walton, M.A.
|
|
| Description |
A brief review is given of the integrable realization of affine fusion discovered recently by Korff and Stroppel. They showed that the affine fusion of the su(n) Wess-Zumino-Novikov-Witten (WZNW) conformal field theories appears in a simple integrable system known as the phase model. The Yang-Baxter equation leads to the construction of commuting operators as Schur polynomials, with noncommuting hopping operators as arguments. The algebraic Bethe ansatz diagonalizes them, revealing a connection to the modular S matrix and fusion of the su(n) WZNW model. The noncommutative Schur polynomials play roles similar to those of the primary field operators in the corresponding WZNW model. In particular, their 3-point functions are the su(n) fusion multiplicities. We show here how the new phase model realization of affine fusion makes obvious the existence of threshold levels, and how it accommodates higher-genus fusion.
|
|
| Date |
2019-02-18T17:56:45Z
2019-02-18T17:56:45Z 2012 |
|
| Type |
Article
|
|
| Identifier |
On Affine Fusion and the Phase Model / M.A. Walton // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 19 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81T40; 81R10; 81R12; 17B37; 17B81; 05E05 DOI: http://dx.doi.org/10.3842/SIGMA.2012.086 http://dspace.nbuv.gov.ua/handle/123456789/148697 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|