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
Higher spin gravity in D=5 AdS spacetime for mixed-symmetry fields

publications

K.B. Alkalaev, V.A. Belavin, «Classical conformal blocks via AdS/CFT
correspondence», JHEP 1508 (2015) 049, arXiv:1504.05943 [hep-th]

K.B. Alkalaev, V.A. Belavin, «Conformal blocks of W_N minimal models and
AGT correspondence», JHEP 1407 (2014) 024, arXiv:1404.7094 [hep-th]

K.B. Alkalaev, «Mixed-symmetry tensor conserved currents and AdS/CFT
correspondence», J.Phys. A46 (2013) 214007, arXiv:1207.1079 [hep-th]

M.C. Escher «Circlelimit III»

D=2 AdS-like geometry