Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows

Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows

We use a Grassmannian framework to define multi-component tau functions as expectation values of certain multi-component Fermi operators satisfying simple bilinear commutation relations on Clifford algebra. The tau functions contain both positive and negative flows and are shown to satisfy the $2n$-...

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Bibliographic Details
Main Authors: Henrik Aratyn, Johan van de Leur
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Clifford algebra
tau-functions
Kac-Moody algebras
loop groups
Camassa-Holm equation
Cecotti-Vafa equations
AKNS hierarchy
Online Access:http://www.emis.de/journals/SIGMA/2007/020/

Internet

http://www.emis.de/journals/SIGMA/2007/020/

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