Black Holes and the SYM Phase Diagram

Abstract

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.

36 pages, latex; 6 eps figures

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• Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
• Connecting black holes and black strings
• The Phase Structure of Low Dimensional Large N Gauge Theories on Tori
• Thermal phases of D1-branes on a circle from lattice super Yang-Mills
• Black Holes and the Super Yang-Mills diagram. II
• Phase structure of matrix quantum mechanics at finite temperature
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• New Phases of Near-Extremal Branes on a Circle
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Testing holography using lattice super-Yang--Mills on a 2-torus
• Thermodynamics of Large-N Super Yang-Mills Theory and AdS/CFT Correspondence
• A note on supersymmetric Yang-Mills thermodynamics
• Holographic thermal field theory on curved spacetimes
• M-Theory and Stringy Corrections to Anti-de Sitter Black Holes and Conformal Field Theories
• On the shape of a D-brane bound state and its topology change
• Localised and nonuniform thermal states of super-Yang-Mills on a circle
• Phases of a two dimensional large N gauge theory on a torus
• Black Holes and Five-brane Thermodynamics
• Matrix Theory Reloaded: A BPS Road to Holography
• Supersymmetric Yang--Mills theories with exact supersymmetry on the lattice
• Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• The M(atrix) model/adS_2 correspondence
• Correspondence Principle in a PP-wave Background
• Large N Reductions and Holography
• Ten Dimensional Black Hole and the D0-brane Threshold Bound State
• Scalar absorption by spinning D3-branes
• Holography and entropy bounds in the plane wave matrix model
• Stringy Forces in the Black Hole Interior
• Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations
• Emergence of the fuzzy horizon through gravitational collapse
• Black holes and thermodynamics of non-gravitational theories
• On black hole thermodynamics from super Yang-Mills
• A note on non-commutative dynamics of spinning D0 branes
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills
• On Emergent Geometry from Entanglement Entropy in Matrix theory