### Abstract

We present fermionic quasi-particle sum representations for some of the characters (or branching functions) of (G^{(1)})_{1} × (G^{(1)})_{1} (G^{(1)})_{2} for all simply-laced Lie algebras G. For given G the charactters are written as the partition function of a set of rank G types of massless quasi-particles in certain charge sectors, with nontrivial lower bounds on the one-particle momenta. We discuss the non-uniqueness of the representation for the identity character of the critical Ising model, which arises in both the A_{1} and E_{8} cases.

Original language | English (US) |
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Pages (from-to) | 263-270 |

Number of pages | 8 |

Journal | Physics Letters B |

Volume | 304 |

Issue number | 3-4 |

DOIs | |

State | Published - Apr 29 1993 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Kedem, R., Klassen, T. R., McCoy, B. M., & Melzer, E. (1993). Fermionic quasi-particle representations for characters of (G

^{(1)})_{1}× (G^{(1)})_{1}(G^{(1)})_{2}.*Physics Letters B*,*304*(3-4), 263-270. https://doi.org/10.1016/0370-2693(93)90292-P