English

Nodal degeneration of chiral algebras

Algebraic Geometry 2026-04-01 v1 Mathematical Physics Algebraic Topology math.MP Quantum Algebra Representation Theory

Abstract

Given a family of stable curves, we define a sheaf of factorization algebras associated to any universal factorization algebra, and prove a gluing formula for the corresponding sheaf of chiral homology, generalizing the sheaves of vertex algebras and the associated Verlinde formula for gluing of conformal blocks.

Keywords

Cite

@article{arxiv.2603.30037,
  title  = {Nodal degeneration of chiral algebras},
  author = {Elchanan Nafcha},
  journal= {arXiv preprint arXiv:2603.30037},
  year   = {2026}
}