  In this work, we study the realization of non-invertible duality symmetries
along the toroidal branch of the $c=2$ conformal manifold. A systematic
procedure to construct symmetry defects is implemented to show that all
Rational Conformal Field Theories along this branch enjoy duality symmetries.
Furthermore, we delve into an in-depth analysis of two representative cases of
multicritical theories, were the toroidal branch meets various orbifold
branches. For these particular examples, the categorical data and the defect
Hilbert spaces associated to the duality symmetries are obtained by resorting
to modular covariance. Finally, we study the interplay between these novel
symmetries and the various exactly marginal and relevant deformations,
including some representative examples of Renormalization Group flows where the
infrared is constrained by the non-invertible symmetries and their anomalies.
