Elliptic Genera and q-Series Development in Analysis, String Theory, and N=2 Superconformal Field Theory
arXiv:1912.04162 · doi:10.1142/S0217751X19502269
Abstract
In this article we examine the Ruelle type spectral functions $\cR(s)$,which define an overall description of the content of the work. We investigate the Gopakumar-Vafa reformulation of the string partition functions, describe the N=2 Landau-Ginzburg model in terms of Ruelle type spectral functions. Furthermore, we discuss the basic properties satisfied by elliptic genera in N=2 theories, construct the functional equations for $\cR(s)$, and analyze the modular transformation laws for the elliptic genus of the Landau-Ginzburg model and study their properties in details.
18 pages. Authors note: overlap with arXiv:1602.06704 and arXiv:1006.4266, arXiv:1207.5569 by other authors is mostly in section 2, which concerns standard material and is inserted in the paper for the sake of clarity and completeness