Elliptic genera and q-series development in analysis, string theory, and N=2 superconformal field theory-Reference-Cited by-同舟云学术

Elliptic genera and q-series development in analysis, string theory, and N=2 superconformal field theory

Published:2019-11-30 Issue:33 Volume:34 Page:1950226
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Bonora L.¹,Bytsenko A. A.²,Chaichian M.³,Gonçalves A. E.²

Affiliation:

1. International School for Advanced Studies (SISSA/ISAS), Via Bonomea 265, 34136 Trieste and INFN, Sezione di Trieste, Italy

2. Departamento de Física, Universidade Estadual de Londrina, Caixa Postal 6001, Londrina-Paraná, Brazil

3. Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland

Abstract

In this paper, we examine the Ruelle-type spectral functions [Formula: see text], which define an overall description of the content of the work. We investigate the Gopakumar–Vafa reformulation of the string partition functions, describe the [Formula: see text] Landau–Ginzburg model in terms of Ruelle-type spectral functions. Furthermore, we discuss the basic properties satisfied by elliptic genera in [Formula: see text] theories, construct the functional equations for [Formula: see text], and analyze the modular transformation laws for the elliptic genus of the Landau–Ginzburg model and study their properties in details.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X19502269

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