Scattering off an interface in 1+1D deformed CFT

Conformal interfaces in 1+1D CFTs enjoy a large degree of 
universality in terms of the reflection and transmission coefficient of 
energy (as well as other conserved charges preserved by the interface), 
when conformal matter is scattered against them. After reviewing the 
origin of the universality, I shall address how such universality gets 
modified once we leave the conformal fixed point. I shall consider one 
particular example of deformed CFT and demonstrate our new proposal 
where the universal transmission coefficient gets modified to a 
transmission function, which is an antisymmetric function of the 
incoming fluxes. I shall briefly outline the computation of this 
function in two specific states of the deformed CFT, namely a 
non-equilibrium steady state with a heat current and a scattering state, 
using both field-theoretic and holographic techniques.