A Trinomial analogue of Bailey's lemma and N = 2 superconformal invariance

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(2-4v)²/2(4v)) and 3 (1 - 2/4v). A number of new mock theta function identities are derived.