Untwisted Gaiotto equivalence
Representation Theory
2024-01-19 v3 Algebraic Geometry
Abstract
This is a successive paper of arXiv:1909.11492. We prove an equivalence between the category of finite-dimensional representations of degenerate supergroup and the category of -equivariant D-modules on . We also prove that we can realize the category of finite-dimensional representations of degenerate supergroup as a category of D-modules on the mirabolic subgroup with certain equivariant conditions for any bigger than and .
Cite
@article{arxiv.2201.10462,
title = {Untwisted Gaiotto equivalence},
author = {Roman Travkin and Ruotao Yang},
journal= {arXiv preprint arXiv:2201.10462},
year = {2024}
}
Comments
40 pages, published version, add acknowledgements and references