In this talk I will review some of the key ideas behind
the study of entanglement measures in 1+1D quantum field theories employing
the so-called branch point twist field approach. This method is based on the
existence of a one-to-one correspondence between different entanglement
measures and different multi-point functions of a particular type of
symmetry field. It is then possible to employ standard methods for the
evaluation of correlation functions to understand properties of entanglement
in bipartite systems. Time permitting, I will then present a recent
application of this approach to the study of a new entanglement measure: the
symmetry resolved entanglement entropy.

Modular forms of slow growth admit a decomposition in terms of the eigenfunctions of the Laplacian operator in the Upper Half Plane. Whilst this technology has been used for many years in the context of Number Theory, it has only recently been used to further understand the partition function and the spectrum of Conformal Field Theories in 2d. In this talk, we’ll review the technology and how it has been applied to CFTs by several authors, as well as present a few new results.

Junior Strings is a seminar series where DPhil students present topics of common interest that do not necessarily overlap with their own research area. This is primarily aimed at PhD students and post-docs but everyone is welcome