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