Black hole as emergent holographic geometry of weakly interacting hot Yang-Mills gas

  title={Black hole as emergent holographic geometry of weakly interacting hot Yang-Mills gas},
  author={Soo-Jong Rey and Yasuaki Hikida},
  journal={Journal of High Energy Physics},
We demonstrate five-dimensional anti-de Sitter black hole emerges as dual geometry holographic to weakly interacting = 4 superconformal Yang-Mills theory. We first note that an ideal probe of the dual geometry is the Yang-Mills instanton, probing point by point in spacetime. We then study instanton moduli space at finite temperature by adopting Hitchin's proposal that geometry of the moduli space is definable by Fisher-Rao "information geometry". In Yang-Mills theory, the information metric is… 

Figures from this paper

Emergent AdS 3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT
We investigate emergent holography of weakly coupled two-dimensional hyperKahler sigma model on T*N−1 at zero and finite temperature. The sigma model is motivated by the spacetime conformal field
Massless black holes and black rings as effective geometries of the D1–D5 system
We compute correlation functions in the AdS3/CFT2 correspondence to study the emergence of effective spacetime geometries describing complex underlying microstates. The basic argument is that almost
Information geometry in quantum field theory: lessons from simple examples
Motivated by the increasing connections between information theory and high-energy physics, particularly in the context of the AdS/CFT correspondence, we explore the information geometry associated
Plasma balls/kinks as solitons of large N confining gauge theories
We discuss finite regions of the deconfining phase of a confining gauge theory (plasma balls/kinks) as solitons of the large N, long wavelength, effective Lagrangian of the thermal gauge theory
Emergent space and the example of AdS5×S5
Abstract We explain how to build field theoretic observables from which the geometrical properties of a dual holographic formulation can be read off straightforwardly. In some cases this construction
A high temperature phase transition in weakly coupled large N gauge theories on S 3
We argue that weakly coupled 3+1 dimensional large N SU(N) gauge theories, with ’t Hooft coupling λ≪ 1, compactified on a three-sphere of radius R, exhibit a novel second order phase transition at a
Information metric from a linear sigma model.
The flat Euclidean or Minkowskian metric, rather than an anti-de Sitter metric that generically emerges from instanton moduli spaces, can be obtained as the Fisher-Rao metric from a nontrivial solution of the massive Klein-Gordon field (a linear σ model).
Multi-matrix models and emergent geometry
Encouraged by the AdS/CFT correspondence, we study emergent local geometry in large N multi-matrix models from the perspective of a strong coupling expansion. By considering various solvable
On the thermodynamic geometry of BTZ black holes
We investigate the Ruppeiner geometry of the thermodynamic state space of a general class of BTZ black holes. It is shown that the thermodynamic geometry is flat for both the rotating BTZ and the BTZ
Microstate dependence of scattering from the D1-D5 system
We investigate the question of distinguishing between different microstates of the D1-D5 system with charges Q1 and Q5, by scattering off the system a supergravity mode which is a minimally coupled


Anti-de Sitter Space, Thermal Phase Transition, And Confinement in Gauge Theories
The correspondence between supergravity (and string theory) on AdS space and boundary conformal eld theory relates the thermodynamics of N = 4 super Yang-Mills theory in four dimensions to the
Anti-de Sitter space and holography
Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of
The black hole singularity in AdS/CFT
We explore physics behind the horizon in eternal AdS Schwarzschild black holes. In dimension d > 3 , where the curvature grows large near the singularity, we find distinct but subtle signals of this
Gauge Theory Correlators from Non-Critical String Theory
Abstract We suggest a means of obtaining certain Green's functions in 3+1-dimensional N =4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The
Wilson-Polyakov loop at finite temperature in large-N gauge theory and anti-de Sitter supergravity
Aspects of d = 4, At" = 4 superconformal U(N) gauge theory are studied at finite temperature. Utilizing dual description of large-N and strong coupling limit via Type liB string theory
The Large N limit of superconformal field theories and supergravity
We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,
Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
Abstract. We study some aspects of Maldacena's large-N correspondence between ${\cal N}=4$ superconformal gauge theory on the D3-brane and maximal supergravity on AdS$_5 \times S_5$ by introducing
Multi-instanton calculus and the AdS/CFT correspondence in N = 4 superconformal field theory
Abstract We present a self-contained study of ADHM multi-instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and
Instantons, the Information Metric, and the AdS/CFT Correspondence
We describe some remarkable properties of the so-called Information Metric on instanton moduli space. This Metric is manifestly gauge and conformally invariant and coincides with the Euclidean AdS_5
Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory
The free energy of the maximally supersymmetric SU(N) gauge theory at temperature T is expected to scale, in the large-N limit, as N2T4 times a function of the 't Hooft coupling, f (gYM2N). In the