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Zbl 0906.05004
Andrews, G.E.; Berkovich, A.
A trinomial analogue of Bailey's lemma and $N=2$ superconformal invariance. (English)
[J] Commun. Math. Phys. 192, No.2, 245-260 (1998). ISSN 0010-3616; ISSN 1432-0916/e

Summary: 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 ${3\over 2}\left(1-{2(2-4\nu)^2\over 2(4\nu)}\right)$ and $3\left(1- {2\over 4\nu}\right)$. A number of new mock theta function identities are derived.

MSC 2000:: *05A19 Combinatorial identities
81T40 Two-dimensional field theories, etc.
11P82 Analytic theory of partitions
05A30 q-calculus and related topics

Keywords: Bailey's lemma; superconformal field theory; mock theta function identities

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