Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills

Abstract

In this paper we consider black p-branes on square torus. We find an indication of a cascade of Gregory-Laflamme transitions between black p-brane and (p-1)-brane. Through AdS/CFT correspondence, these transitions are related to the breakdown of the U(1) symmetry in super Yang-Mills on torus. We argue a relationship between the cascade and recent Monte-Carlo data.

arXiv comment15 pages, 3 figures, LaTeX, v2: comments and references added, v3: minor changes and a reference added

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• High temperature expansion in supersymmetric matrix quantum mechanics
• Hagedorn Instability in Dimensionally Reduced Large-N Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities
• On the shape of a D-brane bound state and its topology change
• Phases of a two dimensional large N gauge theory on a torus
• Lattice Simulations of 10d Yang-Mills toroidally compactified to 1d, 2d and 4d
• What is the gravity dual of the confinement/deconfinement transition in holographic QCD?
• Lattice Black Branes: Sphere Packing in General Relativity
• Gregory-Laflamme encounters Superradiance
• Critical Dimension and Negative Specific Heat in One-dimensional Large-N Reduced Models
• Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories
• Instanton dynamics in finite temperature QCD via holography
• Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• D-dependence of gap between critical temperatures in one-dimensional gauge theories