Nonperturbative studies of supersymmetric matrix quantum mechanics with 4 and 8 supercharges at finite temperature
arXiv:1012.2913 · doi:10.1007/JHEP02(2011)060
Abstract
We investigate thermodynamic properties of one-dimensional U(N) supersymmetric gauge theories with 4 and 8 supercharges in the planar large-N limit by Monte Carlo calculations. Unlike the 16 supercharge case, the threshold bound state with zero energy is widely believed not to exist in these models. This led A.V. Smilga to conjecture that the internal energy decreases exponentially at low temperature instead of decreasing with a power law. In the 16 supercharge case, the latter behavior was predicted from the dual black 0-brane geometry and confirmed recently by Monte Carlo calculations. Our results for the models with 4 and 8 supercharges indeed support the exponential behavior, revealing a qualitative difference from the 16 supercharge case.
arXiv comment16 pages, 7 figures, LaTeX2e, minor corrections in section 3, final version accepted in JHEP
References in corpus (32)
- The Large N Limit of Superconformal Field Theories and Supergravity
- M Theory As A Matrix Model: A Conjecture
- Supergravity and The Large N Limit of Theories With Sixteen Supercharges
- D-particle bound states and generalized instantons
- Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
- Black hole thermodynamics from simulations of lattice Yang-Mills theory
- Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
- Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
- D-Brane Bound States Redux
- Non-lattice simulation for supersymmetric gauge theories in one dimension
- Witten Index and Threshold Bound States of D-Branes
- Exact 2+1 flavour RHMC simulations
- Large N reduction in the continuum three dimensional Yang-Mills theory
- Large N Dynamics of Dimensionally Reduced 4D SU(N) Super Yang-Mills Theory
- A Two-Loop Test of M(atrix) Theory
- Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
- Towards lattice simulation of the gauge theory duals to black holes and hot strings
- Black Hole Thermodynamics from Calculations in Strongly-Coupled Gauge Theory
- Extracting black hole physics from the lattice
- Monte Carlo studies of Matrix theory correlation functions
- Phases of one dimensional large N gauge theory in a 1/D expansion
- Black hole entropy from non-perturbative gauge theory
- Eigenvalue Distributions in Yang-Mills Integrals
- Multi-Body Interactions of D-Particles in Supergravity and Matrix Theory
- Phase structure of matrix quantum mechanics at finite temperature
- High precision study of the structure of D=4 supersymmetric Yang-Mills quantum mechanics
- High temperature expansion in supersymmetric matrix quantum mechanics
- Comments on thermodynamics of supersymmetric matrix models
- Five-Brane Thermodynamics from the Matrix Model
- Born--Oppenheimer corrections to the effective zero-mode Hamiltonian in SYM theory
- Towards the lattice study of M-theory (II)
- Towards the lattice study of M-theory
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- Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
- Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N
- Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
- Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
- The origin of space-time as seen from matrix model simulations
- Solutions of D=2 supersymmetric Yang-Mills quantum mechanics with SU(N) gauge group
- An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
- Numerical investigations of Supersymmetric Yang-Mills Quantum Mechanics with 4 supercharges
- Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a Chemical Potential