Phase transitions for gauge theories on tori from the AdS/CFT correspondence

  title={Phase transitions for gauge theories on tori from the AdS/CFT correspondence},
  author={Don N Page},
  journal={Journal of High Energy Physics},
  • D. Page
  • Published 30 April 2002
  • Physics
  • Journal of High Energy Physics
The vacuum of a large-N gauge field on a p-torus has a spatial stress tensor with tension along the direction of smallest periodicity and equal pressures (but p times smaller in magnitude) along the other directions, assuming an AdS/CFT correspondence and a refined form of the Horowitz-Myers positive-energy conjecture. For infinite N, the vacuum exhibits a phase transition when the lengths of the two shortest periodicities cross. A comparison is made with the Surya-Schleich-Witt phase… 

Holographic confinement/deconfinement phase transitions of AdS/QCD in curved spaces

Recently Herzog has shown that deconfinement of AdS/QCD can be realized, in the hard-wall model where the small radius region is removed in the asymptotically AdS space, via a first order

Phase transition of electrically charged Ricci-flat black holes

We study phase transition between electrically charged Ricci-flat black holes and AdS soliton spacetime of Horowitz and Myers in five dimensions. Boundary topology for both of them is S1 × S1 × R2.

Gravitational wave driving of a gapped holographic system

A bstractThis work addresses the response of a holographic conformal field theory to a homogeneous gravitational periodic driving. The dual geometry is the AdS-soliton, which models a strongly

Large Brane Instability and Topologically Non-Trivial AdS Black Holes

Seiberg and Witten have discussed a specifically “stringy” kind of instability which arises in connection with “large” branes in asymptotically AdS spacetimes. It is easy to see that this instability

Ricci flat black holes and Hawking-Page phase transition in Gauss-Bonnet gravity and dilaton gravity

It is well known that there exists a Hawking-Page phase transition between a spherical anti-de Sitter (AdS) black hole and a thermal AdS space. The phase transition does not happen between a Ricci

Deconfinement Transition of AdS/QCD at ${\cal O}(\alpha'^3)$

We study the confinement/deconfinement phase transition of holographic AdS/QCD models by using Ricci flat $AdS_5$ black holes up to ${\cal O}(\alpha'^3)$, which corresponds to the $\lambda$ expansion

dS/CFT, censorship, instability of hyperbolic horizons, and spacelike branes,” arXiv:hep-th/0205103

Cosmic Censorship relies on the validity of an energy condition, usually taken to be the Dominant Energy Condition. The dS/CFT correspondence furnishes a context in which the DEC can be deduced and

Remarks on the energy of asymptotically Horowitz-Myers metrics

We present results supporting the Horowitz-Myers conjecture, that the Horowitz-Myers metrics minimize energy amongst metrics on the same spacetime manifold and with the same asymptotic behavior.

On the energy of the Horowitz-Myers metrics

We present results supporting the Horowitz-Myers conjecture, that the Horowitz-Myers metrics minimise energy amongst metrics on the same spacetime manifold and with the same asymptotic behaviour.



The AdS / CFT correspondence and a new positive energy conjecture for general relativity

We examine the AdS-CFT correspondence when gauge theory is considered on a compactified space with supersymmetry-breaking boundary conditions. We find that the corresponding supergravity solution has

Entropy and temperature of black 3-branes.

We consider slightly nonextremal black 3-branes of type IIB supergravity and show that their Bekenstein-Hawking entropy agrees, up to a mysterious factor, with an entropy derived by counting non-BPS

Classification of Gravitational Instanton symmetries

We classify the action of one parameter isometry groups of Gravitational Instantons, complete non singular positive definite solutions of the Einstein equations with or without Λ term. The fixed


  • Rev. D59, 026005
  • 1999


  • Rev. Lett. 86, 5231
  • 2001

Phase transitions for flat AdS black holes

  • Phys. Rev. Lett
  • 2001

Phase transitions for flat anti-de Sitter black holes.

The thermodynamics of anti-de Sitter (adS) black holes with Ricci flat horizons are reexamine using the adS soliton as the thermal background and it is found that there is a phase transition which is dependent not only on the temperature but also on the black hole area.

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 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,