Jackiw-Teitelboim Gravity from the Karch-Randall Braneworld
Hao Geng1, Andreas Karch2, Carlos Perez-Pardavila2
1Center for the Fundamental Laws of Nature, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02139, USA.
Physical Review Letters
|December 23, 2022
Summary
We demonstrate Jackiw-Teitelboim gravity in Karch-Randall braneworlds, where the radion mimics the dilaton. Quantum radion fluctuations resolve classical puzzles in entanglement entropy calculations and entanglement wedge reconstruction.
Area of Science:
- Theoretical Physics
- Quantum Gravity
- String Theory
Background:
- Jackiw-Teitelboim (JT) gravity is a 2D quantum gravity theory with applications in black hole physics and quantum chaos.
- Karch-Randall (KR) braneworld models embed our universe in a higher-dimensional spacetime.
- Entanglement entropy quantifies quantum correlations and is crucial for understanding black hole information paradox.
Purpose of the Study:
- To realize Jackiw-Teitelboim gravity within the Karch-Randall braneworld framework.
- To investigate the role of the radion field in this setup, analogous to the dilaton in JT gravity.
- To resolve the degeneracy of Ryu-Takayanagi surfaces in classical entanglement entropy calculations using quantum fluctuations.
Main Methods:
- Constructing a Karch-Randall braneworld model with a suitably orbifolded geometry.
- Identifying the radion field as the dynamical field playing the role of the dilaton.
- Analyzing quantum fluctuations of the radion/dilaton field.
- Applying these fluctuations to resolve ambiguities in Ryu-Takayanagi surface calculations.
Main Results:
- Successful realization of Jackiw-Teitelboim gravity in the Karch-Randall braneworld.
- The radion field in the orbifolded KR setup naturally plays the role of the dilaton.
- Quantum fluctuations of the radion/dilaton field resolve the apparent degeneracy of Ryu-Takayanagi surfaces.
- This provides a mechanism for entanglement wedge reconstruction.
Conclusions:
- The Karch-Randall braneworld offers a natural setting for Jackiw-Teitelboim gravity.
- Radion dynamics are key to understanding dilaton-like behavior in this context.
- Quantum effects are essential for resolving classical ambiguities in holographic entanglement entropy and reconstruction.
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