Anisotropic N=4 super-Yang-Mills plasma and its instabilities.

Area of Science:

• High-energy physics
• String theory
• Condensed matter physics

Background:

• N=4 super-Yang-Mills (SYM) plasma is a crucial theoretical model.
• Understanding plasma behavior at finite temperature and anisotropy is challenging.
• Holographic duality provides a powerful tool to study strongly coupled systems.

Purpose of the Study:

• To construct a type-IIB supergravity solution dual to a spatially anisotropic N=4 SYM plasma.
• To investigate the thermodynamic properties and phase structure of this plasma.
• To explore the role of conformal anomalies and instabilities in the plasma.

Main Methods:

• Utilizing type-IIB supergravity and holographic duality.
• Constructing a static, regular spacetime geometry.
• Analyzing the holographic stress tensor and conformal anomaly.
• Mapping renormalization group flow from UV anti-de Sitter to IR Lifshitz-like geometries.

Main Results:

• A novel supergravity solution describing anisotropic plasma was found.
• The plasma exhibits a phase diagram with homogeneous and inhomogeneous phases.
• Anisotropic stress tensor and conformal anomaly significantly impact thermodynamics.
• Instabilities in the homogeneous phase resemble those in weakly coupled plasmas.

Conclusions:

• The supergravity solution provides a new framework for studying anisotropic plasmas.
• The findings offer insights into phenomena like QCD at finite baryon density and cavitation.
• Holographic methods are effective for exploring complex plasma behaviors.