Abstract
Scattering from conformal interfaces in two dimensions is universal in that the flux of reflected and transmitted energy does not depend on the details of the initial state. In this Letter, we present the first gravitational calculation of energy reflection and transmission coefficients for interfaces with thin-brane holographic duals. Our result for the reflection coefficient depends monotonically on the tension of the dual string anchored at the interface and obeys the lower bound recently derived from the averaged-null-energy condition in conformal field theory. The boundary-conformal-field-theory limit is recovered for infinite ratio of the central charges.
Highlights
In the thin-brane holographic model that we are considering, these two quantities are both fixed by the tension, since this is the only additional parameter associated with the brane
This situation is reminiscent of the case of the a and c central charges in four-dimensional CFT, which are equal in holographic models described by Einstein gravity, but not in general CFTs
Summary and outlook.—In this Letter, we evaluated the reflection and transmission from thin-brane holographic interfaces in AdS3
Summary
Entanglement entropy (see, e.g., [17]). Here, we provide the first calculation of its transport properties. In the thin-brane holographic model that we are considering, these two quantities are both fixed by the tension, since this is the only additional parameter associated with the brane This situation is reminiscent of the case of the a and c central charges in four-dimensional CFT, which are equal in holographic models described by Einstein gravity, but not in general CFTs. Holographic scattering states.—We describe the main steps in the calculation of the reflection and transmission coefficients. One would like to solve the matching problem (6) for a generic metric and a fluctuating interface on the conformal boundary It is, sufficient for our purposes to set all ICFT sources to zero, and only consider normalizable excitations of the fields. The equations are more compact in terms of the combinations
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