MS Seminar (Mathematics - String Theory)

Speaker: Enrico Brehm (Ludwig Maximilian U)
Title: Entanglement, conformal field theory, and interfaces
Date: Tue, Jun 07, 2016, 13:15 - 14:30
Place: Seminar Room A
Related File: 1672.pdf
Abstract: Entanglement is a fundamental feature of quantum theories and as such plays an important role in theory and experiment. A measure thereof is called entanglement entropy. I want to present methods to derive this quantity in two-dimensional conformal field theories with interfaces, i.e. one-dimensional domain walls with suitable local gluing conditions. These may be seen as generalizations of boundaries and fall into two classes: topological interfaces that can be moved freely on the worldsheet of the theory, and non-topological interfaces whose deformation requires energy. Their effect on the entanglement entropy is highly different. I also want to address the question what we can learn about CFTs and their interfaces when looking at entanglement.