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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-component KP hierarchy.The hierarchy equations can be formulated in terms …