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Résumé |
We will consider the free massless compact boson in two dimensions focusing on the basic radius-changing
conformal interface.
After investigating different theoretical aspects of this object we will discuss the fusion of this interface with
conformal boundary conditions. At fractions of the self-dual radius there exist exceptional conformal
boundary conditions (D-branes). It was argued by Fredenhagen, Gaberdiel and Keller that changing the
radius in the bulk induces a boundary RG flow. Following Brunner and Roggenkamp we conjecture that fusing
the basic radius changing interface (that changes the radius from a fraction of the self-dual radius) with the
exceptional boundary conditions gives the boundary condition which is the end point of the RG flow at hand.
By studying the fusion singularities we recover RG logarithms and see, in particular instances, how they get
resummed into power singularities. We discuss what quantities need to be calculated to gain full non-
perturbative control over the fusion.
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