English

Quadratic Duality for Chiral Algebras

Quantum Algebra 2022-12-22 v1 High Energy Physics - Theory Mathematical Physics Algebraic Geometry math.MP

Abstract

We introduce a notion of quadratic duality for chiral algebras. This can be viewed as a chiral version of the usual quadratic duality for quadratic associative algebras. We study the relationship between this duality notion and the Maurer-Cartan equations for chiral algebras, which turns out to be parallel to the associative algebra case. We also present some explicit examples.

Keywords

Cite

@article{arxiv.2212.11252,
  title  = {Quadratic Duality for Chiral Algebras},
  author = {Zhengping Gui and Si Li and Keyou Zeng},
  journal= {arXiv preprint arXiv:2212.11252},
  year   = {2022}
}

Comments

23 pages. Comments are welcome

R2 v1 2026-06-28T07:47:30.788Z