Generalized Integrability and two-dimensional Gravitation
classification
✦ hep-th
keywords
algebrasgeneralizedhierarchiesaffineassociatedconsideredconstructconstruction
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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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