Algebraic solutions of the multicomponent KP hierarchy

[EN]It is shown that it is possible to write down tau functions for the n-component KP hierarchy in terms of non-abelian theta functions. This is a generalization of the rank 1 situation; that is, the relation of theta functions of Jacobians and tau functions for the KP hierarchy.

Detalles Bibliográficos
Autor: Plaza Martín, Francisco José
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2000
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/159346
Acceso en línea:http://hdl.handle.net/10366/159346
Access Level:acceso abierto
Palabra clave:KP hierarchy
Non-abelian theta functions
Infinite Grassmannian
Moduli spaces
Descripción
Sumario:[EN]It is shown that it is possible to write down tau functions for the n-component KP hierarchy in terms of non-abelian theta functions. This is a generalization of the rank 1 situation; that is, the relation of theta functions of Jacobians and tau functions for the KP hierarchy.