English

Hecke modifications of conformal blocks outside the critical level

Representation Theory 2025-10-30 v2 Mathematical Physics Algebraic Geometry math.MP

Abstract

We define Hecke modifications of conformal blocks over affine Lie algebras at non-critical level by using the Hecke modifications of the underlying GG-bundles. We show that this procedure is equivalent to the insertion of a twisted vacuum module at an additional marked point and provide an explicit description using coordinate transformations.

Keywords

Cite

@article{arxiv.2509.02368,
  title  = {Hecke modifications of conformal blocks outside the critical level},
  author = {Raschid Abedin and Giovanni Felder and Robert Windesheim},
  journal= {arXiv preprint arXiv:2509.02368},
  year   = {2025}
}