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arXiv · q-alg/9702008

A Trinomial Analogue of Bailey's Lemma and N=2 Superconformal Invariance

G. E. Andrews·A. Berkovich
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Abstract

We propose and prove a trinomial version of the celebrated Bailey's lemma. As an application we obtain new fermionic representations for characters of some unitary as well as nonunitary models of N = 2 superconformal field theory (SCFT). We also establish interesting relations between N = 1 and N = 2 models of SCFT with central charges $(3/2)( 1 -{2(2 - 4ν)^2}/{2(4ν)})$ and $3(1 - 2/{4ν})$. A number of new mock theta function identities are derived.

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BibTeXRIS

G. E. Andrews, A. Berkovich. 1997-03-05. A Trinomial Analogue of Bailey's Lemma and N=2 Superconformal Invariance. https://doi.org/10.1007/s002200050298

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