Yangian doubles of classical types and their vertex representations
Abstract
The Yangian double DYℏ(gN) is introduced for the classical types of gN=o2n+1, sp2n, and o2n. Via the Gauss decomposition of the generator matrix, the Yangian double is given the Drinfeld presentation. In addition, bosonization of level 1 realizations for the Yangian double DYℏ(gN) of non-simply laced types are explicitly constructed.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- May 2020
- DOI:
- 10.1063/1.5094058
- Bibcode:
- 2020JMP....61e1704J