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Title:
Fast Conformal Bootstrap and High-dimensional Sphere Packing
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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 spin-less modular bootstrap in two dimensions. This method extends the conformal bootstrap to the regime of a large number of degrees of freedom which is relevant to the physics of black holes in 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 for these problems.
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