### 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) |
---|---|

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 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

^{(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

**Fermionic quasi-particle representations for characters of (G ^{(1)})_{1} × (G^{(1)})_{1} (G^{(1)})_{2}.** / Kedem, R.; Klassen, T. R.; McCoy, B. M.; Melzer, E.

Research output: Contribution to journal › Article

^{(1)})

_{1}× (G

^{(1)})

_{1}(G

^{(1)})

_{2}',

*Physics Letters B*, vol. 304, no. 3-4, pp. 263-270. https://doi.org/10.1016/0370-2693(93)90292-P

^{(1)})

_{1}× (G

^{(1)})

_{1}(G

^{(1)})

_{2}. Physics Letters B. 1993 Apr 29;304(3-4):263-270. https://doi.org/10.1016/0370-2693(93)90292-P

}

TY - JOUR

T1 - Fermionic quasi-particle representations for characters of (G(1))1 × (G(1))1 (G(1))2

AU - Kedem, R.

AU - Klassen, T. R.

AU - McCoy, B. M.

AU - Melzer, E.

PY - 1993/4/29

Y1 - 1993/4/29

N2 - 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 A1 and E8 cases.

AB - 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 A1 and E8 cases.

UR - http://www.scopus.com/inward/record.url?scp=0001463109&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001463109&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(93)90292-P

DO - 10.1016/0370-2693(93)90292-P

M3 - Article

AN - SCOPUS:0001463109

VL - 304

SP - 263

EP - 270

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -