English

Gaiotto conjecture for $Rep_q(GL(N-1|N))$

Representation Theory 2025-01-03 v2 High Energy Physics - Theory Algebraic Geometry Quantum Algebra

Abstract

We prove D.Gaiotto's conjecture about geometric Satake equivalence for quantum supergroup Uq(gl(N1N))U_q({\mathfrak{gl}}(N-1|N)) for generic qq. The equivalence goes through the category of factorizable sheaves.

Cite

@article{arxiv.2107.02653,
  title  = {Gaiotto conjecture for $Rep_q(GL(N-1|N))$},
  author = {Alexander Braverman and Michael Finkelberg and Roman Travkin},
  journal= {arXiv preprint arXiv:2107.02653},
  year   = {2025}
}

Comments

v2: the final published version

R2 v1 2026-06-24T03:56:04.601Z