Black Holes and the SYM Phase Diagram

Details Black Holes and the SYM Phase Diagram Black Holes and the SYM Phase Diagram

1998-09-09

arxiv.org/abs/hep-th/9809061v1

Phys.Rev. D59 (1999) 044035

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, latex; 6 eps figures

Scientific paper

10.1103/PhysRevD.59.044035

Making combined use of the Matrix and Maldacena conjectures, the relation between various thermodynamic transitions in super Yang-Mills (SYM) and supergravity is clarified. The thermodynamic phase diagram of an object in DLCQ M-theory in four and five non-compact space dimensions is constructed; matrix strings, matrix black holes, and black $p$-branes are among the various phases. Critical manifolds are characterized by the principles of correspondence and longitudinal localization, and a triple point is identified. The microscopic dynamics of the Matrix string near two of the transitions is studied; we identify a signature of black hole formation from SYM physics.

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