Bosonizations of (sl)over-cap(2) and Integrable Hierarchies

作者：Bakalov Bojko^*; Fleisher Daniel

来源：Symmetry Integrability and Geometry-Methods and Applications, 2015, 11: 005.

DOI：10.3842/SIGMA.2015.005

• affine Kac-Moody algebra
• Casimir element
• Friedan-Martinec-Shenker bosonization
• lattice vertex algebra
• Virasoro algebra
• Wakimoto realization

We construct embeddings of b (sl) over tilde (2) in lattice vertex algebras by composing theWakimoto realization with the Friedan-Martinec-Shenker bosonization. The Kac-Wakimoto hierarchy then gives rise to two new hierarchies of integrable, non-autonomous, non-linear partial differential equations. A new feature of our construction is that it works for any value of the central element of b (sl) over tilde (2); that is, the level becomes a parameter in the equations.

• 出版日期2015