January 23, 2024

Speaker: Giovanni Rizi (Sissa)

Title: Non-Invertible Symmetries in Calabi-Yau Conformal Field Theories

Abstract: I will discuss non-invertible symmetries arising in 2d superconformal field theories corresponding to Calabi-Yau non linear sigma models. Our approach begins from a particularly symmetric point in the conformal manifold of the theory, the Gepner point. Here we are able to study in detail the supersymmetric topological defect lines and show that many exactly marginal deformations preserve a subcategory of the symmetry at the Gepner point. This construction provides examples of continuous families of irrational (and interacting) CFTs with non-invertible symmetries. Finally I will discuss some of the constraints those symmetries imply on correlation functions.

Based on 2312.17308 with Clay Córdova.