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