### Abstract

Using the fusion principle of Bauer et al. we give explicit expressions for some null vectors in the highest weight representations of the WBC_{2} algebra in two different forms. These null vectors are the generalization of the Virasoro ones described by Benoit and Saint-Aubin and analogues of the W_{3} ones constructed by Bowcock and Watts. We find connection between quantum Toda models and the fusion method.

Original language | English |
---|---|

Pages (from-to) | 36-42 |

Number of pages | 7 |

Journal | Physics Letters B |

Volume | 320 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Jan 6 1994 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

_{2}algebra.

*Physics Letters B*,

*320*(1-2), 36-42. https://doi.org/10.1016/0370-2693(94)90820-6

**Null vectors of the WBC _{2} algebra.** / Bajnok, Z.

Research output: Contribution to journal › Article

_{2}algebra',

*Physics Letters B*, vol. 320, no. 1-2, pp. 36-42. https://doi.org/10.1016/0370-2693(94)90820-6

_{2}algebra. Physics Letters B. 1994 Jan 6;320(1-2):36-42. https://doi.org/10.1016/0370-2693(94)90820-6

}

TY - JOUR

T1 - Null vectors of the WBC2 algebra

AU - Bajnok, Z.

PY - 1994/1/6

Y1 - 1994/1/6

N2 - Using the fusion principle of Bauer et al. we give explicit expressions for some null vectors in the highest weight representations of the WBC2 algebra in two different forms. These null vectors are the generalization of the Virasoro ones described by Benoit and Saint-Aubin and analogues of the W3 ones constructed by Bowcock and Watts. We find connection between quantum Toda models and the fusion method.

AB - Using the fusion principle of Bauer et al. we give explicit expressions for some null vectors in the highest weight representations of the WBC2 algebra in two different forms. These null vectors are the generalization of the Virasoro ones described by Benoit and Saint-Aubin and analogues of the W3 ones constructed by Bowcock and Watts. We find connection between quantum Toda models and the fusion method.

UR - http://www.scopus.com/inward/record.url?scp=0002785868&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002785868&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(94)90820-6

DO - 10.1016/0370-2693(94)90820-6

M3 - Article

AN - SCOPUS:0002785868

VL - 320

SP - 36

EP - 42

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 - 1-2

ER -