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Extensions of deformed $W$-algebras via $qq$-characters

Quantum Algebra 2022-12-06 v1 Mathematical Physics math.MP

Abstract

We use combinatorics of qqqq-characters to study extensions of deformed WW-algebras. We describe additional currents and part of the relations in the cases of gl(nm)\mathfrak{gl}(n|m) and osp(22n)\mathfrak{osp}(2|2n).

Keywords

Cite

@article{arxiv.2212.01649,
  title  = {Extensions of deformed $W$-algebras via $qq$-characters},
  author = {B. Feigin and M. Jimbo and E. Mukhin},
  journal= {arXiv preprint arXiv:2212.01649},
  year   = {2022}
}

Comments

Latex, 28 pages