AdS/CFT correspondence (conformal theory & higher spin gravity)
The AdS/CFT correspondence describes quantum field theory in anti-de Sitter space (AdS) in terms of conformal field theory (CFT) living on its boundary. This is a particular example of the so-called holographic duality which plays the fundamental role in modern theoretical physics.
One of the most interesting and important applications of the AdS/CFT correspondence can be found in quantum theories with infinite number of particles and symmetries. Among them are D=2 CFT and higher spin gravity in AdS space in D dimensions.
The current research projects include:
AdS/CFT interpretation of D=2 CFT with Virasoro symmetry
D=2 AdS-like geometry