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Generalized integrability and two-dimensional gravitation

Joaquin Sanchez Guillen, J.Luis Miramontes, Timothy Hollowood Orcid Logo

Theoretical and Mathematical Physics, Volume: "95", Issue: 2, Pages: 552 - 567

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1007/BF01017141

Abstract

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 wel...

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Published in: Theoretical and Mathematical Physics
ISSN: 0040-5779 1573-9333
Published: 1992
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URI: https://cronfa.swan.ac.uk/Record/cronfa28589
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Abstract: 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
College: Faculty of Science and Engineering
Issue: 2
Start Page: 552
End Page: 567