Reflection factors and exact g-functions for purely elastic scattering theories

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We discuss reflection factors for purely elastic scattering theories and relate them to perturbations of specific conformal boundary conditions, using recent results on exact off-critical g-functions. For the non-unitary cases, we support our conjectures using a relationship with quantum group reductions of the sine-Gordon model. Our results imply the existence of a variety of new flows between conformal boundary conditions, some of them driven by boundary-changing operators.
45 pages, 7 figures. v2: minor typos corrected, 3 new references and some further discussion of the massless boundary flows included

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