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

2019/12/05 by L. Bonora, A. A. Bytsenko, M. Chaichian +1
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1142/s0217751x19502269

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

arxiv created 2019/12/05 · arxiv updated 2020/01/29

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.

Citations

• S-Functions, Spectral Functions of Hyperbolic Geometry, and Vertex Operators with Applications to Structure for Weyl and Orthogonal Group Invariants
• Plethysms, replicated Schur functions and series, with applications to vertex operators
• Algebraic random walks in the setting of symmetric functions