The Quantization of the Generalized mKdV Equations for $\hat {\SL}_2$
High Energy Physics - Theory
2007-05-23 v2 Exactly Solvable and Integrable Systems
solv-int
Abstract
We construct quantum deformations of the integrals of motion of the generalized mKdV equations for . For this, we give the relevant vertex operator algebra and prove quantum Serre relations for vertex operators, it allows to construct a -BGG resolution and to deform the classical integrals of motion in a commutativ family.
Keywords
Cite
@article{arxiv.hep-th/9810124,
title = {The Quantization of the Generalized mKdV Equations for $\hat {\SL}_2$},
author = {Antoine Balan},
journal= {arXiv preprint arXiv:hep-th/9810124},
year = {2007}
}
Comments
22 pages, LaTex, no figure