Physics

In the first part of the talk, I’ll explore whether EE’s of subalgebras not organized by position space in a holographic CFT may be useful for bulk reconstruction. In particular I'll explain how the lengths of non-minimal geodesics in AdS3 conical...

Superconformal field theories placed in nontrivial background fields for the metric and the continuous global symmetries exhibit a rich web of RG flows across dimensions. I will discuss several examples of such flows and emphasize some of their...

I formulate the conformal crossing equation in a way that manifests the conformal representation theory. In this form the crossing equation can be generalized to any group. Using SU(2) as a toy model I compute solutions to the crossing equation in...

I will present the concept of a “BPS graph” (a special kind of spectral network) and illustrate its usefulness in the study of theories of class S. BPS graphs encode BPS quivers, even for higher rank and in the presence of non-full punctures, and...

I will discuss kinematic space--the space of pairs of points in a CFT. Basic objects living in kinematic space are OPE blocks--contributions to the OPE from a single conformal family. In holographic theories, OPE blocks are dual at leading order in...

I'll describe the cluster partition function (CPF), a computational tool that uses elements from cluster algebra and representation theory to describe the partition function of Chern-Simons theory with gauge group SL(N,C), on knot complements. I'll...

Combinatorial maps (generated in the Feynman expansion of matrix models) can be classified by a non negative integer, the genus. Edge colored graphs (generated in the Feynman expansion of tensor models) can similarly be classified by a non negative...