Vertex Operators and Modular Forms
Abstract
The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the relationship between a finite group and its irreducible characters; the algebraic structure determines a set of numerical invariants, and arithmetic properties of the invariants provides feedback in the form of restrictions on the algebraic structure. One of the main points of these Notes is to explain how this works, and to give some reasonably interesting examples.
Cite
@article{arxiv.0909.4460,
title = {Vertex Operators and Modular Forms},
author = {Geoffrey Mason and Michael P. Tuite},
journal= {arXiv preprint arXiv:0909.4460},
year = {2011}
}
Comments
118 pages. These are notes based on a series of lectures at the Graduate Workshop " A Window into Zeta and Modular Physics " at MSRI, Berkeley, June 2008 http://www.msri.org/calendar/sgw/WorkshopInfo/449/show_sgw. Submitted to Mathematical Sciences Research Institute Publications