Towards lattice simulation of the gauge theory duals to black holes and hot strings
arXiv:0706.3518 · doi:10.1088/1126-6708/2007/12/104
Abstract
A generalization of the AdS/CFT conjecture postulates a duality between IIA string theory and 16 supercharge Yang-Mills quantum mechanics in the large N 't Hooft limit. At low temperatures string theory describes black holes, whose thermodynamics may hence be studied using the dual quantum mechanics. This quantum mechanics is strongly coupled which motivates the use of lattice techniques. We argue that, contrary to expectation, the theory when discretized naively will nevertheless recover continuum supersymmetry as the lattice spacing is sent to zero. We test these ideas by studying the 4 supercharge version of this Yang-Mills quantum mechanics in the 't Hooft limit. We use both a naive lattice action and a manifestly supersymmetric action. Using Monte Carlo methods we simulate the Euclidean theories, and study the lattice continuum limit, for both thermal and non-thermal periodic boundary conditions, confirming continuum supersymmetry is recovered for the naive action when appropriate. We obtain results for the thermal system with N up to 12. These favor the existence of a single deconfined phase for all non-zero temperatures. These results are an encouraging indication that the 16 supercharge theory is within reach using similar methods and resources.
arXiv comment49 pages, 14 figures
References in corpus (44)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- The Bethe-Ansatz for N=4 Super Yang-Mills
- Black Hole Entropy from Near-Horizon Microstates
- Supergravity and The Large N Limit of Theories With Sixteen Supercharges
- An Index for 4 dimensional Super Conformal Theories
- A Correspondence Principle for Black Holes and Strings
- Microscopic Formulation of Black Holes in String Theory
- Space-Time Structures from IIB Matrix Model
- Monte Carlo Approach to M-Theory
- Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges
- A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges
- A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
- Supersymmetry on a Euclidean Spacetime Lattice II: Theories with Eight Supercharges
- Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
- Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
- Non-lattice simulation for supersymmetric gauge theories in one dimension
- Exact 2+1 flavour RHMC simulations
- Monte Carlo Studies of the IIB Matrix Model at Large N
- The quantum structure of black holes
- Exact Lattice Supersymmetry: the Two-Dimensional N=2 Wess-Zumino Model
- Twisted Supersymmetric Gauge Theories and Orbifold Lattices
- A geometrical approach to N=2 super Yang-Mills theory on the two dimensional lattice
- Lattice Supersymmetry and Topological Field Theory
- The Phase Structure of Low Dimensional Large N Gauge Theories on Tori
- Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
- Deconstruction and other approaches to supersymmetric lattice field theories
- Black hole entropy from non-perturbative gauge theory
- Lattice formulation of super Yang-Mills theory
- Approximations for strongly-coupled supersymmetric quantum mechanics
- Eigenvalue Distributions in Yang-Mills Integrals
- A lattice path integral for supersymmetric quantum mechanics
- Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
- Less naive about supersymmetric lattice quantum mechanics
- Two-dimensional N=(2,2) super Yang-Mills theory on the lattice via dimensional reduction
- Simulations of super Yang-Mills theory in two dimensions
- High precision study of the structure of D=4 supersymmetric Yang-Mills quantum mechanics
- Towards a SDLCQ test of the Maldacena Conjecture
- Relationship between various supersymmetric lattice models
- Twisted supersymmetric sigma model on the lattice
- Can DLCQ test the Maldacena Conjecture?
- R-symmetry in the Q-exact (2,2) 2d lattice Wess-Zumino model
- Exact Witten Index in D=2 supersymmetric Yang-Mills quantum mechanics
- Direct evidence for the Maldacena conjecture for N=(8,8) super Yang-Mills theory in 1+1 dimensions
- On the restoration of supersymmetry in twisted two-dimensional lattice Yang-Mills theory
Cited by in corpus (63)
- Black hole thermodynamics from simulations of lattice Yang-Mills theory
- Digital Quantum Simulation of Minimal AdS/CFT
- Exact lattice supersymmetry
- Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
- Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
- Thermal phases of D1-branes on a circle from lattice super Yang-Mills
- Extracting black hole physics from the lattice
- Multi-matrix models and emergent geometry
- Monte Carlo studies of Matrix theory correlation functions
- Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
- Restoration of supersymmetry on the lattice: Two-dimensional supersymmetric Yang-Mills theory
- Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
- Thermodynamics of the BMN matrix model at strong coupling
- Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
- Large-N reduction in QCD-like theories with massive adjoint fermions
- Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
- Euclidean lattice simulation for the dynamical supersymmetry breaking
- Large N classical dynamics of holographic matrix models
- Matrix embeddings on flat and the geometry of membranes
- Testing holography using lattice super-Yang--Mills on a 2-torus
- Localised Black Holes
- Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
- Comments on thermodynamics of supersymmetric matrix models
- Matrix Geometry and Coherent States
- First results from simulations of supersymmetric lattices
- On the shape of a D-brane bound state and its topology change
- Gauged And Ungauged: A Nonperturbative Test
- Localised and nonuniform thermal states of super-Yang-Mills on a circle
- A general approach to the sign problem - the factorization method with multiple observables
- Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N
- Toward simulating Superstring/M-theory on a quantum computer
- Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
- Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
- Review of Lattice Supersymmetry and Gauge-Gravity Duality
- On Matrix Model Formulations of Noncommutative Yang-Mills Theories
- Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
- Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
- Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory
- Precision test of gauge/gravity duality in D0-brane matrix model at low temperature
- Lattice studies of supersymmetric gauge theories
- Four-dimensional N=1 super Yang-Mills from matrix model
- Dynamical tachyons on fuzzy spheres
- A Method for Measuring the Witten Index Using Lattice Simulation
- Monte Carlo studies of the spontaneous rotational symmetry breaking in dimensionally reduced super Yang-Mills models
- Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry
- Kähler structure in the commutative limit of matrix geometry
- Quantum M-wave and Black 0-brane
- Critical Kaluza-Klein black holes and black strings in D = 10
- What lattice theorists can do for superstring/M-theory
- Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice
- On black hole thermalization, D0 brane dynamics, and emergent spacetime
- A practical solution to the sign problem in a matrix model for dynamical compactification
- Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
- Black Hole Formation at the Correspondence Point
- Loop formulation of supersymmetric Yang-Mills quantum mechanics
- On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
- Nonperturbative studies of supersymmetric matrix quantum mechanics with 4 and 8 supercharges at finite temperature
- Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
- A new large-N limit and the planar equivalence outside the planar limit
- Quantum chromodynamics with advanced computing
- Finite-temperature phase diagram of the BMN matrix model on the lattice
- On Strongly Coupled Matrix Theory and Stochastic Quantization: A New Approach to Holographic Dualities
- The Low Energy Limit of BFSS Quantum Mechanics