Generalized Integrability and two-dimensional Gravitation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages

Scientific paper

10.1007/BF01017141

We review the construction of generalized integrable hierarchies of partial
differential equations, associated to affine Kac-Moody algebras, that include
those considered by Drinfel'd and Sokolov. These hierarchies can be used to
construct new models of 2D quantum or topological gravity, as well as new $\cal
W$-algebras.

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