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Orthosymplectic Satake equivalence

Published 4 Dec 2019 in math.RT, hep-th, math.AG, and math.QA | (1912.01930v5)

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 $SO(N-1,{\mathbb C}[![t]!])$-equivariant perverse sheaves on the affine Grassmannian of $SO_N$. We explain how this equivalence fits into a more general framework of conjectures due to Gaiotto and to Ben-Zvi, Sakellaridis and Venkatesh.

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