Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics

Abstract

We perform a direct test of the gauge-gravity duality associated with the system of N D0-branes in type IIA superstring theory at finite temperature. Based on the fact that higher derivative corrections to the type IIA supergravity action start at the order of α'^3, we derive the internal energy in expansion around infinite 't Hooft coupling up to the subleading term with one unknown coefficient. The power of the subleading term is shown to be nicely reproduced by the Monte Carlo data obtained nonperturbatively on the gauge theory side at finite but large effective (dimensionless) 't Hooft coupling constant. This suggests, in particular, that the open strings attached to the D0-branes provide the microscopic origin of the black hole thermodynamics of the dual geometry including α' corrections. The coefficient of the subleading term extracted from the fit to the Monte Carlo data provides a prediction for the gravity side, which can be checked once the complete form of the O(α'^3) corrections to the supergravity action is obtained.

REVTeX4, 4 pages, 2 figures. Ver.2:intuitive derivation of the subleading term added

References in corpus (19)

• M Theory As A Matrix Model: A Conjecture
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• String Theory Dynamics In Various Dimensions
• A Large-N Reduced Model as Superstring
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Entropy of Near-Extremal Black p-branes
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• R^4, purified
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• 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
• Black hole entropy from non-perturbative gauge theory
• Higher Derivative Corrections to Eleven Dimensional Supergravity via Local Supersymmetry
• High temperature expansion in supersymmetric matrix quantum mechanics
• Toward the Determination of R^3F^2 Terms in M-theory

Cited by in corpus (97)

• An Apologia for Firewalls
• The Black Hole information problem: past, present, and future
• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
• Holographic description of quantum black hole on a computer
• Precision lattice test of the gauge/gravity duality at large-$N$
• TASI lectures on AdS/CFT
• Thermal phases of D1-branes on a circle from lattice super Yang-Mills
• The BFSS model on the lattice
• 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
• Chaos in Classical D0-Brane Mechanics
• To gauge or not to gauge?
• 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
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Large N classical dynamics of holographic matrix models
• Matrix embeddings on flat $R^3$ and the geometry of membranes
• Testing holography using lattice super-Yang--Mills on a 2-torus
• Localised $\mathbf{Ad}{\mathbf{S}}_5\times {\mathbf{S}}^5$ Black Holes
• Chaos in Matrix Models and Black Hole Evaporation
• 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
• Comments on thermodynamics of supersymmetric matrix models
• Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges
• 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
• Bootstrap bounds on D0-brane quantum mechanics
• A general approach to the sign problem - the factorization method with multiple observables
• A note on the quartic effective action of type IIB superstring
• 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
• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• Statistical physics of black holes as quantum-mechanical systems
• A Computer Test of Holographic Flavour Dynamics
• Review of Lattice Supersymmetry and Gauge-Gravity Duality
• Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
• Lectures on Matrix Field Theory I
• Progress and prospects of lattice supersymmetry
• Supersymmetric Yang--Mills theories with exact supersymmetry on the lattice
• Areas and entropies in BFSS/gravity duality
• A Computer Test of Holographic Flavour Dynamics II
• Toward Holographic Reconstruction of Bulk Geometry from Lattice Simulations
• Quantum Near Horizon Geometry of Black 0-Brane
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• Precision test of gauge/gravity duality in D0-brane matrix model at low temperature
• Lattice studies of supersymmetric gauge theories
• A microscopic description of black hole evaporation via holography
• The smallest matrix black hole model in the classical limit
• Four-dimensional N=1 super Yang-Mills from matrix model
• A Method for Measuring the Witten Index Using Lattice Simulation
• Quantum M-wave and Black 0-brane
• Monte Carlo studies of the spontaneous rotational symmetry breaking in dimensionally reduced super Yang-Mills models
• Critical Kaluza-Klein black holes and black strings in D = 10
• Equilibration in low-dimensional quantum matrix models
• A practical solution to the sign problem in a matrix model for dynamical compactification
• Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice
• What lattice theorists can do for superstring/M-theory
• Testing the holographic principle using lattice simulations
• Black Hole Formation at the Correspondence Point
• Quantum error correction and large $N$
• Nonperturbative studies of supersymmetric matrix quantum mechanics with 4 and 8 supercharges at finite temperature
• Worldsheet Analysis of Gauge/Gravity Dualities
• One dimensional supersymmetric Yang-Mills theory with 16 supercharges
• Partial deconfinement: a brief overview
• A holographic bound on the total number of computations in the visible Universe
• Matrix Thermalization
• Markov Chain Monte Carlo for Dummies
• Quantum Black Hole Formation in the BFSS Matrix Model
• Introduction to Monte Carlo for Matrix Models
• Chaos from Equivariant Fields on Fuzzy $S^4$
• Does Yang-Mills theory describe quantum gravity?
• Black Hole and Fuzzy Objects in BFSS Matrix Model
• Twisted lattice supersymmetry and applications to AdS/CFT
• Gauge field corrections to 11-dimensional supergravity via dimensional reduction
• The properties of $D1$-branes from lattice super Yang--Mills theory using gauge/gravity duality
• The shape of emergent quantum geometry from an N=4 SYM minisuperspace approximation
• On the removal of the trace mode in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
• On black hole thermodynamics from super Yang-Mills
• High-Precision Bootstrap of Multimatrix Quantum Mechanics
• Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N
• 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
• Lattice Formulation of $\mathcal{N}=2^{\ast }$ Yang-Mills
• $1/N$ correction in holographic Wilson loop from quantum gravity
• The Low Energy Limit of BFSS Quantum Mechanics
• Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability
• Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection
• Emergent Geometries from the BMN Matrix Model
• Ising Model on Twisted Lattice and Holographic RG flow
• Membrane Matrix models and non-perturbative checks of gauge/gravity duality
• Non-perturbative phase structure of the bosonic BMN matrix model
• Quantised relativistic membranes and non-perturbative checks of gauge/gravity duality