PIRSA:25110062

Poisson Vertex Sigma Models

Khan, A. (2025). Poisson Vertex Sigma Models. Perimeter Institute. https://pirsa.org/25110062

Khan, Ahsan. Poisson Vertex Sigma Models. Perimeter Institute, Nov. 04, 2025, https://pirsa.org/25110062 

          @misc{ pirsa_PIRSA:25110062,
            doi = {10.48660/25110062},
            url = {https://pirsa.org/25110062},
            author = {Khan, Ahsan},
            keywords = {Mathematical physics},
            language = {en},
            title = {Poisson Vertex Sigma Models},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {nov},
            note = {PIRSA:25110062 see, \url{https://pirsa.org}}
          }

Ahsan Khan Harvard University

Talk numberPIRSA:25110062
DOI10.48660/25110062
Collection
Talk Type Conference
Subject

Abstract

The two-dimensional Poisson sigma model is a rich field theory connecting to many interesting topics in mathematical physics, deformation quantization in particular. In this talk I will introduce a three-dimensional holomorphic-topological variant constructed from the data of a Poisson vertex algebra as developed by V. Kac and collaborators. Specializing to familiar PVAs recovers a broad family of field theories, including Chern–Simons theory and (higher-spin) gravity. This framework is expected to illuminate the deformation quantization problem for Poisson vertex algebras.