4 papers
Higher-dimensional Virasoro algebras
Zhengping Gui, Brian R. Williams
We classify central extensions of the dg Lie algebra of derived global sections of the tangent sheaf on the punctured, formal d-disk for d > 2. (The d=2 case has appeared in previo…
Higher-dimensional Chiral Algebras in the Jouanolou Model and free-field realization
Zhengping Gui, Minghao Wang, Brian R. Williams
We appeal to the theory of Jouanolou torsors to model the coherent cohomology of configuration spaces of points in d-dimensional affine space. Using this model, we develop the oper…
Two-dimensional Virasoro algebras
Zhengping Gui, Brian R. Williams
We classify central extensions of the dg Lie algebra of derived global sections of the tangent sheaf on the punctured, formal 2-disk. We then prove a local and universal form of th…
Higher Chiral Algebras in a Polysimplicial Model
Laura O. Felder, Zhengping Gui, Charles A. S. Young
Vertex algebras are equivalent to translation-equivariant chiral algebras on , in the sense of Beilinson and Drinfeld. In this paper we give an algebraic construction…