Title: Bootstrapping Quantum Field Theories with Bondi-Metzner-Sachs (BMS) symmetry

Speaker: Dr. Zodin Mawia, IIT Kanpur

Abstract: The Conformal Bootstrap method is a non-perturbative technique for mapping out all the consistent Conformal Field Theories (CFT) and to solve them. It was introduced in the 1970's by A. Polyakov, S. Ferrara, R. Gatto and A. Grillo and had immediate success in the study of integrable two dimensional CFT's. After this initial success, it remained dormant for about three-decades until a recent breakthrough in 2008 by R. Rattazzi, S. Rychkov, E. Tonni and A. Vichi where they apply the bootstrap technique to four dimensional CFT. This work created a renaissance of interests in Confomal Bootstrap and there has been an explosion of activities in this field with many interesting results and applications ranging from three dimensional Ising model to black hole physics. It is interesting to ask whether one can effectively use the method of bootstrap to other Quantum Field Theories apart from CFTs. In this talk, I will describe our work in that direction. To be more precise, we will look at the formulation of bootstrap for two dimensional Quantum Field Theories which has Bondi-Metzner-Sachs (BMS) symmetry. These field theories are supposed to be the holographic dual of quantum gravity in asymptotically flat space-time and also describe the tensionless limit of string theory.