Elliptic genera and characteristic q-series of superconformal field theory

Show full item record



Permalink

http://hdl.handle.net/10138/203423

Citation

Bonora , L , Bytsenko , A A & Chaichian , M 2015 , ' Elliptic genera and characteristic q-series of superconformal field theory ' Nuclear Physics, Section B , vol. 895 , pp. 192-205 . DOI: 10.1016/j.nuclphysb.2015.03.030

Title: Elliptic genera and characteristic q-series of superconformal field theory
Author: Bonora, L.; Bytsenko, A. A.; Chaichian, M.
Contributor: University of Helsinki, Division of High Energy Physics (Department of Physics) (-2009)
Date: 2015-06
Language: eng
Number of pages: 14
Belongs to series: Nuclear Physics, Section B
ISSN: 0550-3213
URI: http://hdl.handle.net/10138/203423
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 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. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.
Subject: HIGHEST WEIGHT MODULES
LIE-ALGEBRAS
FORMS
114 Physical sciences
Rights:


Files in this item

Total number of downloads: Loading...

Files Size Format View
1_s2.0_S0550321315001121_main.pdf 289.3Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record