### Abstract

Using the reduced WZNW formulation we analyse the classical W-orbit content of the space of classical solutions of the A_{2} Toda theory. We define the quantized Toda field as a periodic primary field of the W-algebra satifying the quantized equations of motion. We show that this local operator can be constructed consistently only in Hilbert space consisting of the representations corresponding to the minimal models of the W-algebra.

Original language | English |
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Pages (from-to) | 329-360 |

Number of pages | 32 |

Journal | Nuclear Physics B |

Volume | 385 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Oct 19 1992 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**A _{2} Toda theory in reduced WZNW framework and the representations of the W-algebra.** / Bajnok, Z.; Palla, L.; Takács, G.

Research output: Contribution to journal › Article

_{2}Toda theory in reduced WZNW framework and the representations of the W-algebra',

*Nuclear Physics B*, vol. 385, no. 1-2, pp. 329-360. https://doi.org/10.1016/0550-3213(92)90104-J

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TY - JOUR

T1 - A2 Toda theory in reduced WZNW framework and the representations of the W-algebra

AU - Bajnok, Z.

AU - Palla, L.

AU - Takács, G.

PY - 1992/10/19

Y1 - 1992/10/19

N2 - Using the reduced WZNW formulation we analyse the classical W-orbit content of the space of classical solutions of the A2 Toda theory. We define the quantized Toda field as a periodic primary field of the W-algebra satifying the quantized equations of motion. We show that this local operator can be constructed consistently only in Hilbert space consisting of the representations corresponding to the minimal models of the W-algebra.

AB - Using the reduced WZNW formulation we analyse the classical W-orbit content of the space of classical solutions of the A2 Toda theory. We define the quantized Toda field as a periodic primary field of the W-algebra satifying the quantized equations of motion. We show that this local operator can be constructed consistently only in Hilbert space consisting of the representations corresponding to the minimal models of the W-algebra.

UR - http://www.scopus.com/inward/record.url?scp=0000199288&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000199288&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(92)90104-J

DO - 10.1016/0550-3213(92)90104-J

M3 - Article

VL - 385

SP - 329

EP - 360

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -