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• W1995822602 abstract "We 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 to 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." @default.
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• W1995822602 date "2015-06-01" @default.
• W1995822602 modified "2023-10-18" @default.
• W1995822602 title "Elliptic genera and characteristic q -series of superconformal field theory" @default.
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• W1995822602 doi "https://doi.org/10.1016/j.nuclphysb.2015.03.030" @default.
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