Renormalisation group flows of boundary theories

We review recent developments in the theory of renormalisation group flows in minimal models with boundaries. Among these, we discuss in particular the perturbative calculations of Recknagel et al, not only as a tool to predict the IR endpoints of certain flows, but also as a motivation for considering the particular limiting case of c=1. By treating this limit, we are able to investigate a wide class of perturbations by considering them as deformations away from the c=1 point. We also present the truncated conformal space approach as a tool for investigating the space of RG flows and checking particular predictions.