The polysimplicial model makes the shifted canonical sheaf on A^n into a homotopy chiral algebra, with the Lie-infinity operad quasi-isomorphic to the operad of chiral operations.
Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry
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Higher Chiral Algebras in a Polysimplicial Model
The polysimplicial model makes the shifted canonical sheaf on A^n into a homotopy chiral algebra, with the Lie-infinity operad quasi-isomorphic to the operad of chiral operations.