U2-5017
Title: RG Flows from Rational CFTs
Abstract: Characterizing RG flows from a UV fixed point perturbed by one of its relevant operators is one of the most important questions in QFT. In this talk, I will present some recent advancements when the UV theory is described by a Rational 2D CFT.
In the first part, I will illustrate how, by matching of the anomalies associated to their non-invertible symmetries, one predicts infinitely many new RG flows between Minimal models of Virasoro and Wn algebras.
In the second part, I will illustrate a construction of a new class of non-topological line operators in deformed Minimal Models given by perturbed Verlinde lines. We shoe that these provide infinite families of commuting non-local conserved charges associated to the new flows found by anomaly matching.
This is based on [2501.07511,2504.05277] and work in progress with T. Prochazka.