English

Representations of loop groups as factorization module categories

Algebraic Geometry 2025-12-09 v2

Abstract

We show that the (2-)category of categorical representations of the loop group embeds fully faithfully into the (2-)category of factorization module categories with respect to the affine Grassmannian.

Keywords

Cite

@article{arxiv.2511.02916,
  title  = {Representations of loop groups as factorization module categories},
  author = {Lin Chen and Yuchen Fu and Dennis Gaitsgory and David Yang},
  journal= {arXiv preprint arXiv:2511.02916},
  year   = {2025}
}
R2 v1 2026-07-01T07:21:53.395Z