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Elliptic genera and characteristic q-series of superconformal field theory

By L. Bonora, A.A. Bytsenko and M. Chaichian

Abstract

AbstractWe analyze the characteristic series, the KO series and the series associated with the Witten genus, and their analytic forms as the q-analogs of classical special functions (in particular q-analog of the beta integral and the gamma function). q-Series admit an analytic interpretation in terms of the spectral Ruelle functions, and their relations with appropriate elliptic modular forms can be described. We show that there is a deep correspondence between the characteristic series of the Witten genus and KO characteristic series, on one side, and the denominator identities and characters of N=2 superconformal algebras, and the affine Lie (super)algebras on the other. We represent the characteristic series in the form of double series using the Hecke–Rogers modular identity

Publisher: The Authors. Published by Elsevier B.V.
Year: 2015
DOI identifier: 10.1016/j.nuclphysb.2015.03.030
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