Mini-Workshop em Sistemas Integráveis Quânticos: "Quantization of integrable structures of super-conformal algebras"
by P.P. Kulish (St. Petersburg Department of the Steklov Institute of Mathematics)
There are different hierarchies of integrable nonlinear equations related with (super -) conformal algerba (Virasoro): SUSY Korteweg - de Vries, SUSY - Toda equations etc. To quantise these equations (field theories) we use the R-matrix formalism of the quantum group theory constructing the quantum monodromy matrix from a particular realization of underlying quantum algebra by vertex operators and free fields.