In algebra, a chiral Lie algebra is a D-module on a curve with a certain structure of Lie algebra. It is related to an E 2 {\displaystyle {\mathcal {E}}_{2}} -algebra via the Riemann–Hilbert correspondence.
See also Chiral algebra Chiral homology
References Francis, John; Gaitsgory, Dennis (2012). "Chiral Koszul duality". Sel. Math. New Series. 18 (1): 27–87. arXiv:1103.5803. doi:10.1007/s00029-011-0065-z.