AdS/CFT Correspondence Method

An AdS/CFT Correspondence Method is a theoretical physics method that uses the duality between anti-de Sitter space gravity and conformal field theory to solve problems in either domain.

• AKA: Gauge/Gravity Duality Method, Holographic Correspondence Method, Maldacena Duality Method, AdS/CFT Duality Approach.
• Context:
  • It can typically map Gravitational Problems to gauge theory problems.
  • It can typically relate Strong Coupling to weak coupling regimes.
  • It can typically connect Higher Dimensional Gravity with lower dimensional field theory.
  • It can typically enable Non-Perturbative Calculations through duality mapping.
  • It can often solve Quantum Chromodynamics Problems using gravitational analogues.
  • It can often provide Black Hole Insights through thermal field theory.
  • It can often inspire Holographic Principle Applications in condensed matter.
  • It can range from being a Exact AdS/CFT Correspondence Method to being an Approximate AdS/CFT Correspondence Method, depending on its precision level.
  • It can range from being a Strong AdS/CFT Correspondence Method to being a Weak AdS/CFT Correspondence Method, depending on its duality form.
  • It can range from being a Classical AdS/CFT Correspondence Method to being a Quantum AdS/CFT Correspondence Method, depending on its correction inclusion.
  • It can range from being a Numerical AdS/CFT Correspondence Method to being an Analytical AdS/CFT Correspondence Method, depending on its solution technique.
  • ...
• Example:
  • Specific Applications, such as:
    • Quark-Gluon Plasma Analysis using gravity dual.
    • Entanglement Entropy Calculation via holographic method.
    • Superconductor Modeling through holographic superconductors.
  • Related Duality Methods, such as:
    • Fluid/Gravity Correspondence for hydrodynamics.
    • ER=EPR Correspondence for quantum entanglement.
  • ...
• Counter-Example:
  • Perturbation Theory Method, which uses small parameter expansion rather than duality.
  • GR-Navier-Stokes Linking Method, which maps between classical theories rather than quantum-gravity duality.
• See: Theoretical Physics Method, GR-Navier-Stokes Linking Method, String Theory, Quantum Gravity, Conformal Field Theory, Holographic Principle, Gauge Theory.

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