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Jackson Integral Representations for Solutions to the Quantized Knizhnik-Zamolodchikov Equation

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abstract

The quantized Knizhnik-Zamolodchikov equations associated with the trigonometric R-matrix or the rational R-matrix of the A-type are considered. Jackson integral representations for solutions of these equations are described. Asymptotic solutions for a holonomic system of difference equations are constructed. Relations between the integral representations and the Bethe ansatz are indicated.

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nlin.SI 1

years

2026 1

verdicts

UNVERDICTED 1

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Yangian Doubles and off-Shell Bethe Vectors

nlin.SI · 2026-07-01 · unverdicted · novelty 6.0

Off-shell Bethe vectors are constructed via Yangian double currents and verified to satisfy defining properties previously used for on-shell vectors in ggo-invariant models.

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  • Yangian Doubles and off-Shell Bethe Vectors nlin.SI · 2026-07-01 · unverdicted · none · ref 36 · internal anchor

    Off-shell Bethe vectors are constructed via Yangian double currents and verified to satisfy defining properties previously used for on-shell vectors in ggo-invariant models.