Quadratic Duality for Chiral Algebras

Authors :: Gui, Zhengping
Li, Si
Zeng, Keyou
Publication Year :: 2022
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.<br />Comment: 23 pages. Comments are welcome