2 citations · 2 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
On the renormalization and quantization of topological-holomorphic field theories
Minghao Wang, Brian R. Williams
Topological field theories and holomorphic field theories naturally appear in both mathematics and physics. However, there exist intriguing hybrid theories that are topological in…
Duality of generalized Maxwell theories as an equivalence in derived geometry
Chris Elliott, Owen Gwilliam, Ingmar Saberi +1
We propose a non-perturbative description of the moduli spaces encoding p-form generalized Maxwell theories in any dimension, using derived differential geometry. Our approach synt…