Gauge/Gravity correspondence, string theory or any QG?

In summary, the author discusses the AdS/CFT correspondence, which is a relationship between any theory of quantum gravity in asymptotically ##AdS_{d+1}## spacetime and an ordinary ##CFT_d## without gravity. However, some may argue that this correspondence is only applicable to theories that can be defined in the UV and behave like ordinary gravity and QFT in the IR. The author also notes that most evidence for this conjecture comes from string theory, but there is still uncertainty about how general holography can be without a solid proof or explicit embedding in string theory. They suggest that a Wilsonian argument or other methods may provide evidence for the general applicability of this correspondence.
  • #1
ShayanJ
Insights Author
Gold Member
2,810
604
In this note, the author says:
The AdS/CFT correspondence is the an exact relationship between any theory of quantum gravity in asymptotically ##AdS_{d+1}## spacetime and an ordinary ##CFT_d## ,without gravity.
with the following footnote:
Some people might obect to the word ‘any’ here. To be safe, we could say ‘any theory that we
know how to define in the UV and acts like ordinary gravity+QFT in the IR.’

But I don't understand how that can be true. All the evidence for the cojecture arises from string theory: Similarity of Large N expansion and the perturbative expansion of a string theory and the equivalent low energy description of N coinciding branes in terms of SUGRA and ##\mathcal N=4 ## SYM(which are both low energy limits of a string theory).

So, how can the author claim that this correspondence is between any theory of QG and a CFT?

Thanks
 
Last edited:
  • #3
I think he can't. It's a matter of intuïtion how general holography could be, but intuïtion is no hard proof. I have the same feelings with flat space holography or non-relativistic AdS/CFT. Without an explicit embedding in string theory (or another theory of QG, as the author suggests) one should be very carefull.

But maybe there is some Wilsonian argument or something which makes his claim possible. I'd be happy to see that too :)
 
  • Like
Likes Demystifier and Urs Schreiber

1. What is the Gauge/Gravity correspondence?

The Gauge/Gravity correspondence, also known as the AdS/CFT correspondence, is a theoretical framework that suggests a duality between certain quantum field theories (Gauge theories) and gravitational theories in higher dimensions. This means that the two seemingly different theories are actually equivalent and can be described by the same mathematical equations.

2. How does the Gauge/Gravity correspondence relate to string theory?

The Gauge/Gravity correspondence is closely related to string theory, which is a theoretical framework that attempts to reconcile the theory of general relativity and quantum mechanics. String theory involves the idea that particles are not point-like objects, but rather tiny vibrating strings. The Gauge/Gravity correspondence provides a way to test string theory predictions in a more accessible framework.

3. What is the role of quantum gravity in the Gauge/Gravity correspondence?

Quantum gravity is the field that attempts to describe the gravitational force in the framework of quantum mechanics. The Gauge/Gravity correspondence is a way to investigate the properties of quantum gravity by studying its connection to quantum field theories. It provides a tool for understanding the behavior of quantum gravity in certain situations, such as in the presence of a black hole.

4. What evidence supports the Gauge/Gravity correspondence?

There is strong mathematical evidence for the Gauge/Gravity correspondence, as it has been shown to hold in many different cases and has been tested using various techniques. The correspondence has also been used to make predictions that have been experimentally verified, providing further support for its validity.

5. How does the Gauge/Gravity correspondence impact our understanding of the universe?

The Gauge/Gravity correspondence has the potential to greatly advance our understanding of the universe, as it provides a way to study the fundamental nature of gravity and its connection to other forces. It also offers insights into the behavior of black holes and the behavior of matter at the smallest scales. Ultimately, the Gauge/Gravity correspondence could lead to a more complete theory of physics, unifying quantum mechanics and general relativity.

Similar threads

  • Beyond the Standard Models
Replies
13
Views
1K
  • Beyond the Standard Models
Replies
1
Views
2K
  • Beyond the Standard Models
Replies
3
Views
2K
  • Beyond the Standard Models
Replies
7
Views
1K
  • Beyond the Standard Models
Replies
1
Views
1K
  • Beyond the Standard Models
Replies
0
Views
897
Replies
1
Views
1K
  • Beyond the Standard Models
Replies
0
Views
407
  • Beyond the Standard Models
Replies
4
Views
2K
  • Beyond the Standard Models
Replies
14
Views
3K
Back
Top