arXiv subjects

T. Hollowood

Publications and source records attributed to T. Hollowood.

2 recordsLinked to original sources

arXiv2016

Generalized Integrability and two-dimensional Gravitation

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.

hep-th↗

arXiv1991

Generalized W-algebras and Integrable Hierarchies

We report on generalizations of the KdV-type integrable hierarchies of Drinfel'd and Sokolov. These hierarchies lead to the existence of new classical $W$-algebras, which arise as the second Hamiltonian structure of the hierarchies. In particular, we present a construction of the $W_n^{(l)}$ algebras.

hep-th↗