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

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    Ads/cft Duality Gauge
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Discussion Overview

The discussion centers on the relationship between AdS/CFT correspondence and gauge/gravity duality, exploring whether they are equivalent concepts. Participants examine various examples of AdS/CFT, implications for gauge theories like QCD, and the broader context of holographic principles.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants note that AdS/CFT correspondence is often used interchangeably with gauge/gravity duality, suggesting that AdS/CFT is a specific instance of this broader concept.
  • One participant questions the conformal invariance of QCD due to its asymptotic freedom, raising concerns about how AdS/CFT correspondence can apply to QCD and string theory.
  • Another participant proposes that AdS/CFT is only an approximative correspondence in the context of QCD.
  • It is mentioned that gauge/gravity duality generalizes the original AdS/CFT conjecture, which was initially a correspondence between N=4 Supersymmetric Yang Mills theory and type IIB string theory on AdS_5×S^5.
  • Applications of the correspondence to describe quark-gluon plasma and phenomena in solid state physics, such as superconductors and graphene systems, are also discussed.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the correspondence between AdS/CFT and gauge/gravity duality, with some asserting that they are equivalent while others highlight distinctions and limitations, particularly in relation to QCD.

Contextual Notes

There are unresolved questions regarding the implications of asymptotic freedom on conformal invariance and the applicability of AdS/CFT correspondence to QCD, as well as the generalization of the original conjecture to other theories.

Jack2013
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Is Ads/CFT correspondance the same as gauge /gravity duality?
 
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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
 
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:
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.
 
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.
 

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