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

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)329-360
Number of pages32
JournalNuclear Physics B
Volume385
Issue number1-2
DOIs
Publication statusPublished - Oct 19 1992

Fingerprint

algebra
Hilbert space
equations of motion
orbits
formulations
operators

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

A2 Toda theory in reduced WZNW framework and the representations of the W-algebra. / Bajnok, Z.; Palla, L.; Takács, G.

In: Nuclear Physics B, Vol. 385, No. 1-2, 19.10.1992, p. 329-360.

Research output: Contribution to journalArticle

@article{7ebaf7f343bc41329a740b2f8ef9534e,
title = "A2 Toda theory in reduced WZNW framework and the representations of the W-algebra",
abstract = "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.",
author = "Z. Bajnok and L. Palla and G. Tak{\'a}cs",
year = "1992",
month = "10",
day = "19",
doi = "10.1016/0550-3213(92)90104-J",
language = "English",
volume = "385",
pages = "329--360",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "1-2",

}

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 -