Salvo Mancani (ULB Brussels)

        Exploring duality symmetries, multicriticality and RG flows at c=2

Conformal field theories in two dimensions with central charge c=2 feature a rich conformal manifold, with various branches and symmetry enhancements. In this context, we study the realization of non-invertible duality symmetries at rational points in the toroidal branch, and their interplay with exactly marginal deformations at multicritical points. Moreover, we show examples of relevant deformations that preserve such non-invertible duality symmetries, whose anomalies strongly constrain the infrared.