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

Reference and note added

Cited by in corpus (3)

• $q$-Trinomial identities
• Refined q-trinomial coefficients and character identities
• On Bailey pairs for $\mathcal{N}=2$ supersymmetric gauge theories on $S_b^3/{\mathbb{Z}}_r$