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Energy Reflection and Transmission at 2D Holographic Interfaces
Constantin Bachas1, Shira Chapman2, Dongsheng Ge1,3
1Laboratoire de Physique de l'École Normale Supérieure, CNRS, PSL Research University and Sorbonne Universités, 24 rue Lhomond, 75005 Paris, France.
Physical Review Letters
|December 18, 2020
Summary
This study calculates energy scattering at conformal interfaces using gravity, finding reflection coefficients depend on string tension and meet theoretical bounds. This work advances understanding of universal physics at 2D interfaces.
Area of Science:
- Theoretical physics
- String theory
- Conformal field theory
Background:
- Scattering from conformal interfaces in 2D is known to be universal.
- Energy flux (reflected and transmitted) is independent of the initial state.
- Holographic duals provide a framework to study such phenomena.
Purpose of the Study:
- To perform the first gravitational calculation of energy reflection and transmission coefficients.
- To investigate interfaces with thin-brane holographic duals.
- To analyze the dependence of these coefficients on interface properties.
Main Methods:
- Gravitational calculation.
- Analysis of interfaces with thin-brane holographic duals.
- Exploration of the relationship between reflection coefficient and string tension.
Main Results:
- The reflection coefficient depends monotonically on the tension of the dual string at the interface.
- The calculated reflection coefficient satisfies the lower bound derived from the averaged null energy condition in conformal field theory.
- The boundary conformal field theory limit is achieved when the ratio of central charges approaches infinity.
Conclusions:
- The gravitational approach provides a consistent method for calculating scattering coefficients at conformal interfaces.
- The results support the universality of scattering phenomena and validate theoretical bounds derived from conformal field theory.
- This work bridges concepts from string theory, gravity, and conformal field theory.
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