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arXiv · 1912.04162

Elliptic Genera and q-Series Development in Analysis, String Theory, and N=2 Superconformal Field Theory

L. Bonora·A. A. Bytsenko·M. Chaichian·A. E. Goncalves
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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.

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L. Bonora, A. A. Bytsenko, M. Chaichian, A. E. Goncalves. 2019-12-05. Elliptic Genera and q-Series Development in Analysis, String Theory, and N=2 Superconformal Field Theory. https://doi.org/10.1142/s0217751x19502269

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