Is Ads/CFT correspondance the same as gauge /gravity duality?

In summary, Ads/CFT correspondance and gauge/gravity duality are often used interchangeably, with Ads/CFT being an example of the broader concept of gauge/gravity duality. This principle allows for the description of various physical theories, including QCD, as holographic duals of string theory in anti-de Sitter spaces. Despite QCD not being conformally invariant, the correspondence still holds and has applications in diverse fields such as quark-gluon plasma and solid state physics.
  • #1
Jack2013
13
0
Is Ads/CFT correspondance the same as gauge /gravity duality?
 
Physics news on Phys.org
  • #2
These terms are used quite loosely and often interchanged. Ads/cft is an example of a gauge/gravity or gauge/string duality. There are various examples of ads/cft as well. ads5/cft4 (maldacena), ads4/cft3 etc (polyakov-klebanov) etc
 
  • #3
From the little I know in gauge theory , QCD has asymptotic freedom . Does this mean that it is not conformally invariant ? If so , how there is Ads\CFT correspondance between QCD and string theory?
 
Last edited:
  • #4
Jack2013 said:
From the little I know in gauge theory , QCD has asymptotic freedom . Does this mean that it is not conformally invariant ? If so , how there is Ads\CFT correspondance between QCD and string theory?
I think AdS/CFT is only an APPROXIMATIVE correspondence in QCD.
 
  • #5
Basically, gauge/gravity duality is a generalization of the original AdS/CFT conjecture, which can be thought of as a manifestation of the holographic principle. The original concept was a correspondence between an N=4 Supersymmetric Yang Mills theory and a type IIB string theory on [itex]AdS_5\times S^5.[/itex] It turned out that this correspondence principle couldn't only be applied to the theories it was originally made for, but also for others, QCD being a famous example: the correspondence offers means to describe quark-gluon plasma. Even though QCD is not conformally invariant, the correspondence still seems to hold in this case. There are also applications in solid state physics: there are holographic descriptions of superconducters and graphene systems.
 

1. What is Ads/CFT correspondence and gauge/gravity duality?

Ads/CFT correspondence and gauge/gravity duality are two different terms used to describe the same concept in theoretical physics. It is a theoretical framework that relates two seemingly different theories - Anti-de Sitter space (Ads) and conformal field theory (CFT) in a lower-dimensional space, and gravity and gauge theory in a higher-dimensional space.

2. How are Ads/CFT correspondence and gauge/gravity duality related?

Ads/CFT correspondence and gauge/gravity duality are two different ways of describing the same relationship between theories. Ads/CFT correspondence is a specific example of gauge/gravity duality, where the anti-de Sitter space is the higher-dimensional space and the conformal field theory is the lower-dimensional space.

3. What is the significance of Ads/CFT correspondence and gauge/gravity duality?

This theoretical framework has been instrumental in bridging the gap between quantum field theory and gravity, two fundamental theories in physics that were previously thought to be incompatible. It has also allowed for new insights and calculations in black hole physics, quantum gravity, and other areas of theoretical physics.

4. How does Ads/CFT correspondence and gauge/gravity duality work?

The exact mechanism of how Ads/CFT correspondence and gauge/gravity duality work is not fully understood, but it is believed that the two theories are equivalent due to the holographic principle, which states that all the information about a higher-dimensional space can be encoded on its lower-dimensional boundary.

5. Are there any limitations or challenges to understanding Ads/CFT correspondence and gauge/gravity duality?

While the Ads/CFT correspondence and gauge/gravity duality have been successful in many applications, there are still open questions and challenges in fully understanding this relationship. Some of these include the lack of a complete mathematical proof, the applicability to different types of theories, and the connection to the physical world.

Similar threads

I Ads/CFT and Ashtekar variables or spinfoam
    • Beyond the Standard Models
Replies
7
Views
1K
I Does the graviton have to exist?
    • Beyond the Standard Models
Replies
6
Views
708
A UV-IR Corresp: AdS-CFT & Non-AdS Differences
    • Beyond the Standard Models
Replies
1
Views
2K
A Thermodynamics/gravity/CFT correspondence
    • Beyond the Standard Models
Replies
8
Views
1K
A Is ADS Theory a Quantum Theory? Hawking's Bet and the ADS/CFT Equivalence
    • Beyond the Standard Models
Replies
10
Views
1K
A Ads/cft correspondence and quantum / classical correspondance
    • Beyond the Standard Models
Replies
18
Views
2K
Gauge/Gravity duality and evidence for superstring theory
    • Beyond the Standard Models
Replies
2
Views
2K
I What use is the AdS/CFT correspondence in a flat universe?
    • Beyond the Standard Models
Replies
13
Views
3K
A Can holography provide a complete description of a space-time?
    • Beyond the Standard Models
Replies
4
Views
4K
I Is loop quantum gravity dual to CFT?
    • Beyond the Standard Models
Replies
13
Views
1K

Hot Threads

Recent Insights

Back
Top