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

@article{Rey2006BlackHA, 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}, year={2006}, volume={2006}, pages={051-051} }

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…

## 18 Citations

Emergent AdS 3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT

- Physics
- 2006

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

- Physics
- 2005

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

- Physics
- 2020

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

- Physics
- 2007

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

- Physics
- 2013

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

- 2009

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.

- Mathematics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

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

- Physics
- 2008

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

- Physics
- 2006

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

- Physics
- 2009

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…

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