QFT in AdS

In recent years, significant progress has been made in understanding conformal field theories beyond the perturbative regime using new numerical and analytical techniques, in the context of the Conformal Boostrap approach. 

Researchers are now exploring ways to import these successes to massive quantum field theories (QFT). One leading strategy that has emerged is to study QFTs on AdS backgrounds and use the Conformal Bootstrap to analyze boundary correlators. 

In addition, AdS offers a natural infrared cutoff and potentially allows the study of asymptotically free QFTs, such as Yang-Mills theory, using perturbation theory and semi-classical methods. 

The workshop aims to explore QFTs in AdS and promote cross-fertilization between different techniques, such as the Conformal Bootstrap, large N, resurgence, and more.

1) Can the boundary conformal bootstrap detect the deconfinement/confinement transition as the radius of AdS is increased?

2) Can the perturbative expansion for small AdS radius be extrapolated to learn about the strongly coupled regime?

3) Can the modern analytic bootstrap techniques provide new tools to compute the perturbative expansion?

4) Are there new semi-classical contributions responsible for non-perturbative physics?