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

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

1997-02-03

arxiv.org/abs/q-alg/9702008v3

Physics

High Energy Physics

High Energy Physics - Theory

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Scientific paper

10.1007/s002200050298

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

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