PIRSA:25110058

Infinite Dimensional Topological-Holomorphic Symmetry in Three Dimensions

(2025). Infinite Dimensional Topological-Holomorphic Symmetry in Three Dimensions. Perimeter Institute. https://pirsa.org/25110058

Infinite Dimensional Topological-Holomorphic Symmetry in Three Dimensions. Perimeter Institute, Nov. 04, 2025, https://pirsa.org/25110058 

          @misc{ pirsa_PIRSA:25110058,
            doi = {10.48660/25110058},
            url = {https://pirsa.org/25110058},
            author = {},
            keywords = {Mathematical physics},
            language = {en},
            title = {Infinite Dimensional Topological-Holomorphic Symmetry in Three Dimensions},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {nov},
            note = {PIRSA:25110058 see, \url{https://pirsa.org}}
          }
Joaquin Liniado
Talk numberPIRSA:25110058
DOI10.48660/25110058
Collection
Talk Type Conference
Subject

Abstract

We introduce a three-dimensional topological-holomorphic quantum field theory with an infinite-dimensional symmetry, realized explicitly through a centrally extended affine graded Lie algebra. This symmetry is a direct three-dimensional generalization of the chiral symmetry in the Wess-Zumino-Witten model. Accordingly, this setup provides a framework for extending the methods of two-dimensional conformal field theory to three dimensions, and we expect it to lay the groundwork for exact methods in three-dimensional quantum field theory.