# Moduli of Vacua and Categorical representations

### APA

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

### MLA

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

### BibTex

@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}} }

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**Subject**

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)