Conformal Bootstrap in the Lightcone Limit
This event is part of the HET Seminar Series.
Abstract: In this talk, we will explore the structures of conformal field theories (CFTs) that emerge from the conformal bootstrap in the lightcone limit. We start by analyzing a 4-point function of real scalars, showing the existence of large spin, double-twist operators in unitary CFTs in d>2. These operators correspond to two-particle bound states in AdS and their anomalous dimensions correspond to the binding energies between the two particles. I will demonstrate the features of the binding energies arising from gauge and gravitational interactions. Then, using the 4-point function involving conserved currents and the stress energy tensor, I will establish a relation between the energy flux positivity in CFT and the attractiveness of gravity at large distances in AdS. Finally, I will use the bootstrap machinery to prove the conformal collider bounds for all unitarity CFTs in d>2.