Exploring spectral bounds from modular invariance

In contrast with the usual techniques in higher-dimensional CFTs using crossing symmetry of correlators, we focus in this talk on a complementary technique in two dimensions known as the "modular bootstrap"--constraints following from imposing modular invariance of the partition function on the torus. After presenting recent results, we discuss intriguing results from work in progress using toroidal compactification to generate CFTs in order to probe these constraints.
Michigan Center for Theoretical Physics,
Feb 15, 2016, 6:03 AM