Localized AdS_{3}×S^{3}× T^{4} Black Holes

Area of Science:

• Theoretical Physics
• String Theory
• Black Hole Physics
• AdS/CFT Correspondence

Background:

• Numerical construction of black hole solutions in Anti-de Sitter (AdS) space is crucial for understanding quantum gravity.
• The AdS/CFT correspondence provides a powerful tool to study strongly coupled quantum field theories (CFTs) using gravitational duals.
• Understanding phase transitions in black hole systems can reveal fundamental aspects of quantum field theories.

Purpose of the Study:

• To numerically construct asymptotically global AdS3×S3×T4 black hole solutions in type IIB supergravity.
• To investigate phase transitions of these black hole solutions at different energy regimes.
• To explore the implications of these transitions via the AdS/CFT correspondence for the D1-D5 CFT2.

Main Methods:

• Numerical construction of black hole solutions in type IIB supergravity.
• Analysis of thermodynamic properties and phase transitions using the microcanonical ensemble.
• Application of the AdS/CFT correspondence to interpret the observed phase transition in the dual CFT.

Main Results:

• Successfully constructed AdS3×S3×T4 black holes with specific symmetries and horizon topology.
• Identified a first-order phase transition at higher energies to BTZ×S3×T4 black holes.
• The phase transition corresponds to the spontaneous breaking of SO(4) R symmetry to SO(3) in the dual D1-D5 CFT2.

Conclusions:

• The constructed black hole solutions and their phase transitions provide a novel window into the D1-D5 CFT2.
• These findings suggest a rich landscape of black hole solutions relevant to the CFT2 'sparseness bootstrap condition'.
• The study sheds light on how macroscopic entanglement in thermal phases encodes microscopic structure.