Tau functions for the Dirac operator in the Euclidean plane

DOI10.2140/pjm.1993.160.259zbMath0777.35068OpenAlexW2047495646MaRDI QIDQ689743

John Palmer

Publication date: 17 November 1993

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pjm/1102624217

zbMATH Keywords

monodromy\(\tau\)-functionsholonomic fieldslink between the deformation theory and the quantum field theorysingular Dirac operators

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) PDEs in connection with quantum mechanics (35Q40)

Related Items (12)

Tau functions for the Dirac operator on the Poincaré disk ⋮ Infinite-dimensional flag manifolds in integrable systems ⋮ Point interactions in one dimension and holonomic quantum fields ⋮ Short distance asymptotics of Ising correlations ⋮ Singular limits of relative entropy in two dimensional massive free fermion theory ⋮ Aharonov-Bohm effect on the Poincaré disk ⋮ Tau functions as Widom constants ⋮ Tau functions and the twistor theory of integrable systems. ⋮ Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions ⋮ Double dimers, conformal loop ensembles and isomonodromic deformations ⋮ Tau functions for the Dirac operator on the cylinder ⋮ On Painlevé VI transcendents related to the Dirac operator on the hyperbolic disk

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