Tau-function formalism for supersymmetric KP hierarchies

We consider the Manin-Radul and Jacobian supersymmetric KP hierarchies from the point of view of the tau-function formalism. Solutions of their associated systems of Sato equations are characterized in terms of correlation functions of supersymmetric vertex operators of superghost type. The expressi...

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Detalles Bibliográficos
Autores: Martínez Alonso, Luis, Medina Reus, Elena
Tipo de recurso: artículo
Fecha de publicación:1995
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59831
Acceso en línea:https://hdl.handle.net/20.500.14352/59831
Access Level:acceso abierto
Palabra clave:51-73
Super-virasoro constraints
Equations
Física-Modelos matemáticos
Física matemática
Descripción
Sumario:We consider the Manin-Radul and Jacobian supersymmetric KP hierarchies from the point of view of the tau-function formalism. Solutions of their associated systems of Sato equations are characterized in terms of correlation functions of supersymmetric vertex operators of superghost type. The expression of the wave functions of these hierarchies in terms of tau-functions is obtained and the corresponding bilinear identities are established. Explicit methods for generating soliton and rational solutions are given.