Moduli of Vacua and Categorical representations


Ben-Zvi, D. (2017). Moduli of Vacua and Categorical representations. Perimeter Institute. https://pirsa.org/17050067


Ben-Zvi, David. Moduli of Vacua and Categorical representations. Perimeter Institute, May. 19, 2017, https://pirsa.org/17050067


          @misc{ pirsa_PIRSA:17050067,
            doi = {10.48660/17050067},
            url = {https://pirsa.org/17050067},
            author = {Ben-Zvi, David},
            keywords = {Mathematical physics},
            language = {en},
            title = {Moduli of Vacua and Categorical representations},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {may},
            note = {PIRSA:17050067 see, \url{https://pirsa.org}}

David Ben-Zvi The University of Texas at Austin


I will present some results on three-dimensional gauge theory from the point of view of extended topological field theory. In this setting a theory is specified by describing its collection of boundary conditions - in our case, a collection of categories (standing in for 2d TFTs) with a prescribed symmetry group G. We will apply ideas from Seiberg-Witten geometry to construct a new commutative algebra of symmetries for categorical representations (or line operators in the gauge theory) -  a categorification of Kostant's description of the center of the enveloping algebra. (Joint with Sam Gunningham and David Nadler)