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Precision Test of Gauge-Gravity Duality with Flavor
Andreas Karch1, Brandon Robinson1, Christoph F Uhlemann1
1Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA.
Physical Review Letters
|January 15, 2016
Summary
This study precisely tested anti-de Sitter/conformal field theory (AdS/CFT) dualities using supersymmetric D7-brane embeddings. Researchers found matching results for a phase transition and free energies between holographic and field theory calculations.
Area of Science:
- String Theory and Quantum Gravity
- High-Energy Physics
- Condensed Matter Theory
Background:
- AdS/CFT dualities provide a powerful framework for studying strongly coupled quantum field theories.
- Previous tests of these dualities were limited in precision and scope.
- Supersymmetric D7-brane embeddings offer a new avenue for precise holographic calculations.
Purpose of the Study:
- To perform a precision test of AdS/CFT dualities.
- To compare holographic calculations with field theory results for N=4 super Yang-Mills theory coupled to massive N=2 supersymmetric flavors.
- To investigate the behavior of the system at strong coupling.
Main Methods:
- Utilized a new class of supersymmetric D7-brane embeddings into AdS(5)×S(5).
- Described N=4 super Yang-Mills theory coupled to massive N=2 supersymmetric flavors on S(4).
- Employed supersymmetric localization in field theory to calculate the free energy at strong coupling.
Main Results:
- Achieved analytically matching results between holographic and field theory calculations.
- Identified a phase transition occurring at the same critical mass in both approaches.
- Found matching free energies up to a scheme-dependent constant in both phases.
Conclusions:
- The study provides strong evidence supporting the validity of AdS/CFT dualities.
- The new D7-brane embeddings are a valuable tool for precision tests of holography.
- The findings pave the way for further investigations into strongly coupled quantum field theories using holographic methods.
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