Thermal phases of D1-branes on a circle from lattice super Yang-Mills

Abstract

We report on the results of numerical simulations of 1+1 dimensional SU(N) Yang-Mills theory with maximal supersymmetry at finite temperature and compactified on a circle. For large N this system is thought to provide a dual description of the decoupling limit of N coincident D1-branes on a circle. It has been proposed that at large N there is a phase transition at strong coupling related to the Gregory-Laflamme (GL) phase transition in the holographic gravity dual. In a high temperature limit there was argued to be a deconfinement transition associated to the spatial Polyakov loop, and it has been proposed that this is the continuation of the strong coupling GL transition. Investigating the theory on the lattice for SU(3) and SU(4) and studying the time and space Polyakov loops we find evidence supporting this. In particular at strong coupling we see the transition has the parametric dependence on coupling predicted by gravity. We estimate the GL phase transition temperature from the lattice data which, interestingly, is not yet known directly in the gravity dual. Fine tuning in the lattice theory is avoided by the use of a lattice action with exact supersymmetry.

21 pages, 8 figures. v2: References added, two figures were modified for clarity. v3: Normalisation of lattice coupling corrected by factor of two resulting in change of estimate for c_crit

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Cited by in corpus (59)

• Holographic Thermalization
• The BFSS model on the lattice
• Gregory-Laflamme as the confinement/deconfinement transition in holographic QCD
• Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
• Thermodynamics of the BMN matrix model at strong coupling
• Testing holography using lattice super-Yang--Mills on a 2-torus
• Holographic thermal field theory on curved spacetimes
• Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
• Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges
• Partial Deconfinement
• Hagedorn Instability in Dimensionally Reduced Large-N Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities
• Localised and nonuniform thermal states of super-Yang-Mills on a circle
• SO(9) supergravity in two dimensions
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Partial-Symmetry-Breaking Phase Transitions
• Phases of a two dimensional large N gauge theory on a torus
• Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
• Lattice Simulations of 10d Yang-Mills toroidally compactified to 1d, 2d and 4d
• Lattice Gauge Theory for Physics Beyond the Standard Model
• Review of Lattice Supersymmetry and Gauge-Gravity Duality
• Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
• Progress and prospects of lattice supersymmetry
• Thermal phase transition in Yang-Mills matrix model
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• What is the gravity dual of the confinement/deconfinement transition in holographic QCD?
• Precision test of gauge/gravity duality in D0-brane matrix model at low temperature
• Warm p-soup and near extremal black holes
• Lattice studies of supersymmetric gauge theories
• Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions
• Topologically Twisted $N=(2,2)$ Supersymmetric Yang-Mills Theory on Arbitrary Discretized Riemann Surface
• What lattice theorists can do for superstring/M-theory
• Critical Kaluza-Klein black holes and black strings in D = 10
• Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice
• Critical Dimension and Negative Specific Heat in One-dimensional Large-N Reduced Models
• Testing the holographic principle using lattice simulations
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
• Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM
• New States of Gauge Theories on a Circle
• Lattice Gauge Theories at the Energy Frontier
• Markov Chain Monte Carlo for Dummies
• O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
• Instanton dynamics in finite temperature QCD via holography
• Lattice N=4 super Yang-Mills at Strong Coupling
• Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations
• A new large-N limit and the planar equivalence outside the planar limit
• The properties of $D1$-branes from lattice super Yang--Mills theory using gauge/gravity duality
• Exact $\beta$-function of Yang-Mills theory in 2+1 dimensions
• Twisted lattice supersymmetry and applications to AdS/CFT
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
• On black hole thermodynamics from super Yang-Mills
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry
• Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
• Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N
• Lattice Formulation of $\mathcal{N}=2^{\ast }$ Yang-Mills
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills
• $\mathcal{N}=2^{\ast }$ Yang-Mills on the Lattice