3 papers
hep-th2025
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…
math.AG2025
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…
math.DG2024
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…