Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N
arXiv:1412.3939
Abstract
Maximally supersymmetric (p+1)-dimensional Yang-Mills theory at large N and finite temperature, with possibly compact spatial directions, has a rich phase structure. Strongly coupled phases may have holographic descriptions as black branes in various string duality frames, or there may be no gravity dual. In this paper we provide tools in the gauge theory which give a simple and unified picture of the various strongly coupled phases, and transitions between them. Building on our previous work we consider the effective theory describing the moduli of the gauge theory, which can be computed precisely when it is weakly coupled far out on the Coulomb branch. Whilst for perturbation theory naive extrapolation from weak coupling to strong gives little information, for this moduli theory naive extrapolation from its weakly to its strongly coupled regime appears to encode a surprising amount of information about the various strongly coupled phases. We argue it encodes not only the parametric form of thermodynamic quantities for these strongly coupled phases, but also certain transcendental factors with a geometric origin, and allows one to deduce transitions between the phases. We emphasise it also gives predictions for the behaviour of a large class of local operators in these phases.
arXiv comment64 pages, 3 figures
References in corpus (33)
- M Theory As A Matrix Model: A Conjecture
- Black Strings and p-Branes are Unstable
- Matrix String Theory
- A Correspondence Principle for Black Holes and Strings
- The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
- Dynamical Aspects of Large N Reduced Models
- Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
- Comments on Black Holes in String Theory
- Holographic description of quantum black hole on a computer
- Non-lattice simulation for supersymmetric gauge theories in one dimension
- Constraints From Extended Supersymmetry in Quantum Mechanics
- Reducing - duality to - duality
- Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
- Generalized Conformal Symmetry in D-Brane Matrix Models
- Thermal phases of D1-branes on a circle from lattice super Yang-Mills
- Black Hole Thermodynamics from Calculations in Strongly-Coupled Gauge Theory
- Membrane Scattering with M-Momentum Transfer
- Black hole entropy from non-perturbative gauge theory
- Black Holes and the Super Yang-Mills diagram. II
- Thermodynamics of the BMN matrix model at strong coupling
- Large N classical dynamics of holographic matrix models
- Matrix Schwarzschild Black Holes in Large N limit
- Comments on thermodynamics of supersymmetric matrix models
- Matrix Theory Black Holes and the Gross Witten Transition
- Instantons, Three Dimensional Gauge Theories and Monopole Moduli Spaces
- Phases of a two dimensional large N gauge theory on a torus
- Probing Matrix Black Holes
- Warm p-soup and near extremal black holes
- Thermodynamics of black M-branes from SCFTs
- On the Supersymmetry and Gauge Structure of Matrix Theory
- One dimensional supersymmetric Yang-Mills theory with 16 supercharges
- A Low Temperature Expansion for Matrix Quantum Mechanics
- Microstates of D1-D5(-P) black holes as interacting D-branes