7 citations · 13 across the 11 of their papers we have counts for
13 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…
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…
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…
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…
Unravelling the Holomorphic Twist II: Anomalies and Extended Supersymmetry
Pieter Bomans, Niklas Garner, Brian R. Williams +1
Twists of four-dimensional supersymmetric quantum field theories (SQFTs) isolate protected sectors with rich algebraic structures. We develop a unified framework for analyzing symm…
Holomorphic field theories and higher algebra
Owen Gwilliam, Brian R. Williams
Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogues of the rich interplay between Riemann surfaces, Virasoro and Kac-Moody Li…
Local superconformal algebras
Fabian Hahner, Surya Raghavendran, Ingmar Saberi +1
Given a supermanifold equipped with an odd distribution of maximal dimension and constant symbol, we construct the formal moduli problem of deformations of the distribution. This m…
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…
The local cohomology of vector fields
Brian R Williams
We compute the local cohomology of vector fields on a manifold. In the smooth case this recovers the diagonal cohomology studied in work of Losik, Guillemin, Fuks and others. In th…
A complex geometric perspective on a,c anomalies
Brian R Williams
In four-dimensional conformal field theory, the numbers a and c are defined as coefficients of particular terms in the operator product expansion (OPE) of the energy-momentum tenso…
Twisted holography on AdS & the planar chiral algebra
Víctor E. Fernández, Natalie M. Paquette, Brian R. Williams
In this work, we revisit and elaborate on twisted holography for AdS with , K3, with a particular focus on K3. We describe the twist of supergravity…
Higgs and coulomb branches from superconformal raviolo vertex algebras
Niklas Garner, Surya Raghavendran, Brian R. Williams
We propose a method for extracting the Higgs and Coulomb branches of a three-dimensional N = 4 quantum field theory from the algebra of local operators in its holomorphic-topologic…
Enhanced symmetries in minimally-twisted three-dimensional supersymmetric theories
Niklas Garner, Surya Raghavendran, Brian R. Williams
We show that the action of residual supersymmetries in holomorphic-topological twists of theories in three dimensions naturally extends to the action of certain infinite di…