Seminars: Sarkissian Gor, The light asymptotic limit of Conformal blocks in Toda field theory and the AGT correspondence

SEMINARS


Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models" June 2, 2016 14:00, Moscow, IITP RAS, Bolshoy Karetny per. 19, room 615

The light asymptotic limit of Conformal blocks in Toda field theory and the AGT correspondence Sarkissian Gor^ab ^a Yerevan Physics Institute ^b Yerevan State University
Abstract: We compute the light asymptotic limit of $A_{n-1}$ Toda conformal blocks by using the AGT correspondence. We show that for certain class of CFT blocks the corresponding Nekrasov partition functions in this limit are simplified drastically being represented as a sum of a restricted class of Young diagrams. In the particular case of $A_{2}$ Toda we also compute the corresponding conformal blocks using conventional CFT techniques finding a perfect agreement with the results obtained from the Nekrasov partition functions.