Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations

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Gen Kuroki , Takashi Takebe This is my paper · ORCID

classification math.QAhep-thmath-phmath.MP

keywords equationsintegralknizhnik-zamolodchikov-bernardrepresentationsolutionsbosonizationconstructmodules

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We construct an integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations, using the Wakimoto modules.

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Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation
math-ph 2019-08 accept novelty 7.0 of 10

Integral representations are constructed for solutions of the non-stationary elliptic Calogero-Sutherland equation, yielding elliptic analogues of Jack polynomials for non-integer coupling values.