Communications in Mathematical Physics

, Volume 192, Issue 2, pp 245–260 | Cite as

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

  • G. E. Andrews
  • A. Berkovich

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 \(\) and \(\). A number of new mock theta function identities are derived.

Dedicated to Dora Bitman on her 70th birthday

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • G. E. Andrews
    • 1
  • A. Berkovich
    • 1
  1. 1.Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA. E-mail: andrews@math.psu.edu, berkov_acommat;math.psu.eduUS

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