Why Is AdS Space Ideal for Formulating String Theory and Holography?

  • Context: Graduate 
  • Thread starter Thread starter dx
  • Start date Start date
  • Tags Tags
    Relation
Click For Summary
SUMMARY

AdS space is ideal for formulating string theory and holography due to its unique geometric properties and the GKP-Witten relation, which connects quantum field theory and gravitational theories. The AdS/CFT correspondence provides a framework where string theory can be analyzed in a controlled manner, allowing for the study of quantum gravity. Holography is inherently linked to AdS space, as it offers a natural setting for understanding the duality between bulk gravitational theories and boundary conformal field theories.

PREREQUISITES
  • Understanding of AdS/CFT correspondence
  • Familiarity with the GKP-Witten relation
  • Knowledge of string theory fundamentals
  • Basic concepts of quantum field theory
NEXT STEPS
  • Research the implications of the GKP-Witten relation in quantum gravity
  • Explore the mathematical framework of AdS/CFT correspondence
  • Study the role of holography in modern theoretical physics
  • Investigate specific examples of string theory models in AdS space
USEFUL FOR

The discussion is beneficial for theoretical physicists, string theorists, and researchers interested in quantum gravity and the foundations of holography.

dx
Homework Helper
Messages
2,143
Reaction score
52
In AdS/CFT, we have the GKP-witten relation

$$\left< \exp \left( i \int \phi^{(0)} O \right) \right> = e^{-S[\phi^{(0)}]}$$

why is it natural to formulate string theory on an AdS space? is it a natural background for some particular definite reasons? Is holography naturally formulated in an AdS background?
 

Similar threads

Graduate Twistors and celestial holography
  • · Replies 21 ·
Replies
21
Views
6K
Undergrad Unifying string theory and loop quantum gravity
  • · Replies 2 ·
Replies
2
Views
4K
Graduate Is the Randall-Sundrum model background independent?
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Information encoding in the Holographic principle
  • · Replies 14 ·
Replies
14
Views
5K
Undergrad Ads/CFT and Ashtekar variables or spinfoam
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Uncovering the Combinatorial Origins of Yang-Mills Theory?
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad What use is the AdS/CFT correspondence in a flat universe?
  • · Replies 13 ·
Replies
13
Views
6K
Undergrad Trying To Conceptualize Two Dimensions Of Time
  • · Replies 2 ·
Replies
2
Views
5K
Graduate What is the Best Resource for Learning String Theory as a Side Project?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad 'Formulations' of Physical Theories: Overview?
  • · Replies 2 ·
Replies
2
Views
14K