Andrews, G. E.; Berkovich, A. A trinomial analogue of Bailey’s lemma and \(N=2\) superconformal invariance. (English) Zbl 0906.05004 Commun. Math. Phys. 192, No. 2, 245-260 (1998). 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. Cited in 73 Documents MSC: 05A19 Combinatorial identities, bijective combinatorics 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics 11P82 Analytic theory of partitions 05A30 \(q\)-calculus and related topics Keywords:Bailey’s lemma; superconformal field theory; mock theta function identities × Cite Format Result Cite Review PDF Full Text: DOI arXiv Digital Library of Mathematical Functions: Strong Bailey Lemma ‣ §17.12 Bailey Pairs ‣ Properties ‣ Chapter 17 𝑞-Hypergeometric and Related Functions Online Encyclopedia of Integer Sequences: Triangle of trinomial coefficients T(n,k) (n >= 0, 0 <= k <= 2*n), read by rows: n-th row is obtained by expanding (1 + x + x^2)^n.