We consider translation invariant defects in two dimensions and their properties. Two classes of such defects are operators implementing generalised Gibbs ensembles (GGEs), and chiral perturbations of topological defects. We investigate non-local charges for perturbations of two-dimensional conformal field theories that arise as chiral perturbations in this way. We find solutions for a wide range of perturbations including the well-known (1,2), (1,3) and (1,5) integrable perturbations of Virasoro minimal models (with associated local conserved charges), but we also find solutions for other bulk perturbations, such as (1,7), and we contrast this with the (non) existence of local conserved charges. Based on work with F Ambrosino, M Downing, F Karimi, A Konechny, I Runkel, T Sengupta and A Sudhakar.