4.0 Article

QUASIMAP COUNTS AND BETHE EIGENFUNCTIONS

Journal

MOSCOW MATHEMATICAL JOURNAL
Volume 17, Issue 4, Pages 565-600

Publisher

INDEPENDENT UNIV MOSCOW-IUM
DOI: 10.17323/1609-4514-2017-17-4-565-600

Keywords

Quasimaps; Bethe ansatz; Knizhnik-Zamolodchikov equations

Funding

  1. NSF grant [1521446]
  2. Berkeley Center for Theoretical Physics
  3. Simons Foundation
  4. Russian Academic Excellence Project '5-100'
  5. RSF [16-11-10160]
  6. Direct For Mathematical & Physical Scien
  7. Division Of Mathematical Sciences [1564497] Funding Source: National Science Foundation
  8. Direct For Mathematical & Physical Scien
  9. Division Of Physics [1521446] Funding Source: National Science Foundation
  10. Russian Science Foundation [16-11-10160] Funding Source: Russian Science Foundation

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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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