Relativity Seminar

In recent years, lower-dimensional quantum field theories have often been understood as descending from higher-dimensional topological-holomorphic gauge theories, with their algebraic and geometric structures thereby becoming manifest. This perspective has led to substantial progress in the study of two-dimensional integrable field theories, four-dimensional integrable systems, and, more recently, celestial holography. In this talk, we present a new instance of this mechanism starting from a five-dimensional holomorphic BF theory. We show how it gives rise to a three-dimensional QFT, whose symmetries are naturally organized into a shifted Poisson vertex algebra. Such structures appear ubiquitously in holomorphic–topological twists of three-dimensional N=2 supersymmetric field theories. We conclude with some remarks on how this construction may be framed within the context of twisted holography.