Thermodynamic of the BMN matrix model at strong coupling

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Miguel S Costa (Author) FCUP; Lauren Greenspan (Author) Other; Joao Penedones (Author) Other; Jorge E Santos (Author) Other

Journal

Title: JHEP: Journal of High Energy Physics

Vol. 2015

ISSN: 1029-8479

Publisher: Springer

Indexing

ISI Web of Knowledge - 23 Citations

Scopus - 24 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-00A-9X7

DOI: 10.1007/jhep03(2015)069

Abstract (EN): We construct the black hole geometry dual to the deconfined phase of the BMN matrix model at strong 't Hooft coupling. We approach this solution from the limit of large temperature where it is approximately that of the non-extremal D0-brane geometry with a spherical S-8 horizon. This geometry preserves the SO(9) symmetry of the matrix model trivial vacuum. As the temperature decreases the horizon becomes deformed and breaks the SO(9) to the SO(6) x SO(3) symmetry of the matrix model. When the black hole free energy crosses zero the system undergoes a phase transition to the confined phase described by a Lin-Maldacena geometry. We determine this critical temperature, whose computation is also within reach of Monte Carlo simulations of the matrix model.

Language: English

Type (Professor's evaluation): Scientific