PIRSA:24090162

Categories of line defects and cohomological Hall algebras

Grygoryev, N. (2024). Categories of line defects and cohomological Hall algebras. Perimeter Institute. https://pirsa.org/24090162

Grygoryev, Nikita. Categories of line defects and cohomological Hall algebras. Perimeter Institute, Sep. 12, 2024, https://pirsa.org/24090162 

          @misc{ pirsa_PIRSA:24090162,
            doi = {10.48660/24090162},
            url = {https://pirsa.org/24090162},
            author = {Grygoryev, Nikita},
            keywords = {Mathematical physics},
            language = {en},
            title = {Categories of line defects and cohomological Hall algebras},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {sep},
            note = {PIRSA:24090162 see, \url{https://pirsa.org}}
          }

Nikita Grygoryev

Talk number
PIRSA:24090162
Collection
Talk Type
Subject
Abstract

BPS line defects in 4d N=2 supersymmetric QFT are described by a monoidal category with a list of desired properties. For example, the Grothendieck group of this category is supposed to coincide with quantization of functions on Coulomb branch of the theory compactified on a circle. Based on an observation, that at a given vacuum the spectrum of PBS particles can be quipped with an algebra structure – cohomological Hall algebra of the corresponding BPS quiver – we propose a category generated by certain bimodules over this algebra that possesses expected properties of the category of lines. Based on a joint work with Davide Gaiotto and Wei Li.