English

On R-matrix formulation of qq-characters

High Energy Physics - Theory 2023-10-05 v1 Mathematical Physics math.MP

Abstract

We introduce an R-matrix formulation of qq-characters and corresponding Frenkel-Reshetikhin deformed W-algebras. The R-matrix featuring in the construction is of Ding-Iohara-Miki (DIM) algebra, while the type of the qq-character is determined by the network of Fock representations corresponding to a web of 5-branes geometrically engineering a quiver gauge theory. Our formulation gives a unified description of qq-characters of AnA_n type and their elliptic uplifts.

Cite

@article{arxiv.2310.02587,
  title  = {On R-matrix formulation of qq-characters},
  author = {Mehmet Batu Bayındırlı and Dilan Nur Demirtaş and Can Kozçaz and Yegor Zenkevich},
  journal= {arXiv preprint arXiv:2310.02587},
  year   = {2023}
}

Comments

41 pages, 15 figures

R2 v1 2026-06-28T12:40:08.213Z