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Chaos in AdS_{2} Holography.
1Department of Physics and Astronomy, San Francisco State University, San Francisco, California 94132, USA.
Physical Review Letters
|September 24, 2016
Summary
We connect two-dimensional holography to Sachdev-Ye-Kitaev models. Our findings reveal that the dual quantum mechanics is maximally chaotic, offering new ways to compute correlation functions.
Area of Science:
- Theoretical Physics
- Quantum Gravity
- Condensed Matter Physics
Background:
- The Sachdev-Ye-Kitaev (SYK) model is a pivotal quantum mechanical system known for its maximal chaos.
- Holography provides a powerful duality between gravitational theories and quantum field theories.
Purpose of the Study:
- To explore the connection between two-dimensional holography and Sachdev-Ye-Kitaev models.
- To develop a new framework for understanding gravitational theories in anti-de Sitter spacetimes.
Main Methods:
- Rewriting a gravitational theory near a two-dimensional anti-de Sitter spacetime throat.
- Coupling the gravitational theory to the correlation functions of a conformal quantum mechanics.
Main Results:
- A novel hydrodynamics description for gravity in an anti-de Sitter throat.
- A prescription for computing n-point functions in the dual quantum mechanics.
- Demonstration that the dual quantum mechanics exhibits maximal chaos.
Conclusions:
- The study establishes a concrete link between specific gravitational theories and the SYK model framework.
- The developed methods offer new computational tools for studying quantum chaotic systems.
- The findings reinforce the holographic principle and its implications for understanding quantum gravity.
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