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Tau functions for the Dirac operator on the Poincaré disk

1993/09/02 by John Palmer, Morris Beatty, Craig A. Tracy · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Complex system #Dirac (video compression format) #Dirac operator #Function (biology) #Geometry and complex manifolds #Holomorphic and Operator Theory #Holonomic #Operator (biology) #Point (geometry) #Type (biology) #hep-th #math-ph #math.MP #nlin.SI #solv-int

paper · pdf · doi:10.1007/bf02099740

published as Commun.Math.Phys. 165 (1994) 97-174 · 92 pages

arxiv created 1993/09/02 · openalex publication_date 1994/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Correlation functions for holonomic fields on the Poincare' disk are analyzed. The two point functions are shown to be expressible in terms of Painleve' functions of type VI.

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