11–13 Jan 2023
Murcia, Spain
Europe/Madrid timezone

Non-invertible Symmetries and theories of class S

13 Jan 2023, 17:50
30m
Universidad de Murcia, Campus de la Merced (Murcia, Spain)

Universidad de Murcia, Campus de la Merced

Murcia, Spain

Paraninfo Campus de la Merced C. Santo Cristo 1 30001 Murcia Spain

Speaker

Bashmakov, Vladimir (Uppsala University)

Description

Non-invertible symmetries is a generalization of a conventional notion of symmetry, which includes symmetry transformations that do not obey the group law, and in particular fail to have the inverse. In this talk I will discuss the construction of such non-invertible symmetries in class S theories, obtained by compactifying 6d (2,0) superconformal field theory on a Riemann surface with no punctures. The simplest example in this family is N=4 SYM. After setting up the general framework, I will describe how such symmetries can be classified up to genus 5. I will also explain the imprints of non-invertible symmetries in the Symmetry TFT of the theories under discussion.

Presentation materials