Description
Entanglement Bootstrap is a research program to understand and extract the universal data of quantum many body states from local entanglement information. The program proceeds by identifying conditions satisfied by the reduced density matrix of a ball for a given class of fixed-point states. I'll describe our progress at using this philosophy to learn about the space of conformal field theories in 1+1 dimensions and above, and how it can be refined by the imposition of symmetries. The talk is based on work with Xiang Li, Ting-Chun (David) Lin, and Rolando Ramirez Camasca.