Three quantizations of conformal field theory
 Date
 May 1 (Wed) at 15:40  17:30, 2019 (JST)
 Speaker

 Tsukasa Tada (Coordinator, iTHEMS / Vice Chief Scientist, Quantum Hadron Physics Laboratory, RIKEN Nishina Center for AcceleratorBased Science (RNC))
 Language
 English
Needless to say, conformal field theory is elemental in the study of string theory, statistical quantum systems, and various quantum field theories.
Twodimensional conformal field theory is usually quantized by the socalled radial quantization. However, this is not the only way. As a matter of fact, there are two other distinctive choices for the time foliation, or equivalently, the Hamiltonian. One of these choices yields the continuous Virasoro algebra, while the other choice leads to the Virasoro algebra on a torus. The former case corresponds to the recently found (and perhaps less known) phenomenon, sinesquare deformation. The latter yields the wellknown entanglement entropy. I will present a comprehensive treatment of these three quantizations and discuss its physical implications.