Colliders and conformal interfaces

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We probe a generic two dimensional conformal interface via a collider experiment. We measure the energy and charges which are reflected and transmitted through the interface. If the largest symmetry algebra is Virasoro, the average transmitted energy is independent of the details of the initial state, and is fixed in terms of the central charges and of the two-point function of the displacement operator. The situation is more elaborate when extended symmetries are present. We comment on the bounds imposed by positivity of the total energy flux at infinity, and on applications of the result to the physics of steady states.