Event Details

Dr. Perlmutter will discuss techniques for computing 4-point functions of local operators in 2D conformal field theories, and their implications for 3D quantum gravity. Specializing to correlators of holomorphic operators, these can be efficiently and exactly determined using an analytic implementation of the conformal bootstrap; the method is closely related to the construction of modular functions. Using AdS/CFT and the sewing construction of partition functions, Dr. Perlmutter will apply the bootstrap to derive all-loop contributions to the semiclassical expansion of 3D quantum gravity around genus two geometries. Unlike at genus one, this expansion does not truncate at finite loop order.