On black hole thermodynamics from super Yang-Mills

2013/04/14 by Toby Wiseman, Wiseman, Toby · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Decoupling (probability) #FOS: Physical sciences #Gauge theory #High Energy Physics - Theory (hep-th) #Lambda #Limit (mathematics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Supergravity #Supersymmetry #Theoretical physics #Thermodynamics #Yang–Mills existence and mass gap #hep-th

paper · pdf · doi:10.48550/arxiv.1304.3938

published in arXiv (Cornell University) (Cornell University) · 28 pages, no figures. v2: journal version - minor corrections, references added

openalex publication_date 2013/04/14 · arxiv created 2013/07/22 · arxiv updated 2013/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We consider maximally supersymmetric U(N) Yang-Mills in (1+p)-dimensions for p < 3. In the 't Hooft large N limit this is conjectured to be dual to N Dp-branes in the decoupling limit. At low temperatures T << λ^1/(3-p) governed by the dimensionful 't Hooft coupling λ, supergravity black holes predict the free energy density goes as ~ N² T^2(7-p)/(5-p) and the expectation value of the scalars goes as ~ T^2/(5-p), with dimensions made up by λ. The purpose of this work is to explain the origin of these peculiar powers of temperature. We argue that these powers naturally arise by requiring that the low energy moduli of the theory become strongly coupled at low temperature. As an application, we consider the BMN quantum mechanics that results from a supersymmetric deformation of the p=0 theory. The black holes dual to this deformed theory have not yet been constructed, and our analysis can be used to make an explicit prediction for their thermodynamic behaviour.

Citations

• Black hole entropy from nonperturbative gauge theory
• Nonlattice Simulation for Supersymmetric Gauge Theories in One Dimension
• The Supergravity Dual of the BMN Matrix Model
• Schwarzschild Radius from Monte Carlo Calculation of the Wilson Loop in Supersymmetric Matrix Quantum Mechanics
• Mtheory as a matrix model: A conjecture
• First results from lattice simulation of the PWMM
• Comments on black holes in string theory
• Monte Carlo approach to the string/M-theory
• A Low Temperature Expansion for Matrix Quantum Mechanics
• Evidence for Fast Thermalization in the Plane-Wave Matrix Model

Related

• Black holes and thermodynamics of non-gravitational theories
• Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N
• Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges
• Some recent advances in the understanding of \cal N=4 supersymmetric Yang-Mills thermodynamics
• Dynamics of D-brane Black Holes