String Theory Seminars
On the Polyakov-Mellin bootstrap (Quantum Spacetime Seminar Series)
by Prof. Rajesh Gopakumar (ICTS-TIFR, Bangalore)
Monday, October 8, 2018 from to (Asia/Kolkata)
at A 304
at A 304
This talk will elaborate on the manifestly crossing symmetric framework for studying the conformal bootstrap for a CFTd . This employs Witten diagrams of an auxiliary AdS d+1 . We will discuss how both exchange and contact Witten diagrams are necessary and also give simple, explicit representations/parametrisations of these in Mellin space. We will also show how explicit expressions for the crossing kernel for exchange Witten diagrams (i.e. the decomposition of a t-channel amplitude in s-channel partial waves) can be obtained in Mellin space. They are closely related to the generalised 6j-symbols and given in terms of 7F6 hypergeometric functions.