Orthosymplectic Satake equivalence
Representation Theory
2022-10-31 v5 High Energy Physics - Theory
Algebraic Geometry
Quantum Algebra
Abstract
This is a companion paper of arXiv:1909.11492. We prove an equivalence relating representations of a degenerate orthosymplectic supergroup with the category of -equivariant perverse sheaves on the affine Grassmannian of . We explain how this equivalence fits into a more general framework of conjectures due to Gaiotto and to Ben-Zvi, Sakellaridis and Venkatesh.
Keywords
Cite
@article{arxiv.1912.01930,
title = {Orthosymplectic Satake equivalence},
author = {Alexander Braverman and Michael Finkelberg and Roman Travkin},
journal= {arXiv preprint arXiv:1912.01930},
year = {2022}
}
Comments
v2: 31 pages, a few minor corrections; Conjecture 3.3.4 became Theorem 3.3.5. v3: 32 pages, proof of Lemma 2.3.3 corrected. v4: minor corrections. v5: the final published version