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Quasimap counts and Bethe eigenfunctions

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abstract

We associate an explicit equivalent descendent insertion to any relative insertion in quantum K-theory of Nakajima varieties. This also serves as an explicit formula for off-shell Bethe eigenfunctions for general quantum loop algebras associated to quivers and gives the general integral solution to the corresponding quantum Knizhnik-Zamolodchikov and dynamical q-difference equations.

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math-ph 1

years

2024 1

verdicts

CONDITIONAL 1

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Quantum K-theory and Integrability

math-ph · 2024-12-27 · conditional · novelty 2.0

This proceedings note reviews and advertises the equivalence between quantum K-theory of Nakajima quiver varieties and the tRS/XXZ integrable systems, with no new theorem proven.

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  • Quantum K-theory and Integrability math-ph · 2024-12-27 · conditional · none · ref 1 · internal anchor

    This proceedings note reviews and advertises the equivalence between quantum K-theory of Nakajima quiver varieties and the tRS/XXZ integrable systems, with no new theorem proven.