The Quantization of the Generalized mKdV Equations for $\hat {\SL}_2$

Details The Quantization of the Generalized mKdV Equations for $\hat {\SL}_2$ The Quantization of the Generalized mKdV Equations for $\hat {\SL}_2$

1998-10-16

arxiv.org/abs/hep-th/9810124v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTex, no figure

Scientific paper

We construct quantum deformations of the integrals of motion of the
generalized mKdV equations for $\hat {\SL}_2$. For this, we give the relevant
vertex operator algebra and prove quantum Serre relations for vertex operators,
it allows to construct a $q$-BGG resolution and to deform the classical
integrals of motion in a commutativ family.

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