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

Original language | English (US) |
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Pages (from-to) | 245-260 |

Number of pages | 16 |

Journal | Communications In Mathematical Physics |

Volume | 192 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1998 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Andrews, G. E., & Berkovich, A. (1998). A Trinomial analogue of Bailey's lemma and N = 2 superconformal invariance.

*Communications In Mathematical Physics*,*192*(2), 245-260. https://doi.org/10.1007/s002200050298