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arXiv · 1802.04463

qKZ/tRS Duality via Quantum K-Theoretic Counts

Peter Koroteev·Anton M. Zeitlin
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Abstract

We show that normalized quantum K-theoretic vertex functions for cotangent bundles of partial flag varieties are the eigenfunctions of quantum trigonometric Ruijsenaars-Schneider (tRS) Hamiltonians. Using recently observed relations between quantum Knizhnik-Zamolodchikov (qKZ) equations and tRS integrable system we derive a nontrivial identity for vertex functions with relative insertions.

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Peter Koroteev, Anton M. Zeitlin. 2018-02-13. qKZ/tRS Duality via Quantum K-Theoretic Counts. https://doi.org/10.4310/mrl.2021.v28.n2.a5

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