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Energy Transport for Thick Holographic Branes
Constantin Bachas1, Stefano Baiguera2, Shira Chapman2
1Laboratoire de Physique de l'École Normale Supérieure, CNRS, PSL Research University and Sorbonne Universités, 24 rue Lhomond, 75005 Paris, France.
Physical Review Letters
|July 28, 2023
Summary
Researchers developed a new method to calculate energy transmission across 2D conformal interfaces using holographic models. This approach simplifies complex gravitational systems, enabling precise calculations for interfaces like the Janus interface.
Area of Science:
- Theoretical Physics
- String Theory
- Quantum Field Theory
Background:
- Universal properties of 2D conformal interfaces are key to understanding scattering processes.
- Energy transmission and reflection are critical metrics for these interfaces.
Purpose of the Study:
- To develop an innovative method for calculating energy transmission in 2D conformal interfaces.
- To apply this method to general smooth domain-wall solutions in 3D gravity.
Main Methods:
- Utilizing results from energy transmission in thin-brane holographic models.
- Discretizing continuous geometry into a series of branes.
- Applying the discrete brane method to 3D gravity domain-wall solutions.
Main Results:
- A novel method to determine energy transmission for smooth domain-wall solutions.
- Successful computation of the transmission coefficient for a Janus interface.
- The transmission coefficient is expressed in terms of the Janus interface's deformation parameter.
Conclusions:
- The developed method provides a powerful tool for analyzing 2D conformal interfaces in holographic contexts.
- This work bridges thin-brane models and general domain-wall solutions in 3D gravity.
- The findings offer new insights into the properties of Janus interfaces.
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