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qKZ/tRS Duality via Quantum K-Theoretic Counts

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 نشر من قبل Peter Koroteev
 تاريخ النشر 2018
  مجال البحث
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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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