The fast conformal bootstrap and sphere packing in high dimensions

Abstract: The conformal bootstrap program seeks to map the space of possible conformal field theories and to identify those on the boundary of theory space. In this talk, I will discuss a numerical method that is applicable to certain bootstrap problems, such as the spinless modular bootstrap in two dimensions. This method extends the conformal bootstrap to the regime of large central charge which is relevant to three-dimensional gravity. The same method applies to the sphere packing problem and gives new bounds on the packing density in high dimensions. I will talk about these new bounds and give a summary of existing bounds. I will also talk about bootstrapping four-point functions on a plane by using the fast bootstrap method.

statistical mechanicsHEP - theorymathematical physics

Audience: researchers in the topic

Princeton HET seminar