By a defect we mean a line of inhomogeneity where the expectation values of fields are allowed to be discontinuous or even singular. Defects can also form an interface between two different theories. In the case of conformal field theories those defects are especially interesting which are invariant under scale transformations. These conformal defects are the fixed points of the renormalisation group flows. In the talk I will report a study of a simple example of a two-parameter space of renormalisation group flows with the aim of identifying new conformal defects in unitary minimal models.
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