Representations of W-algebras with two generators and new rational models

W. Eholzer; M. Flohr; A. Honecker; R. Hübel; W. Nahm; R. Varnhagen

doi:10.1016/0550-3213(92)90679-6

Representations of W-algebras with two generators and new rational models

W. Eholzer^*
, M. Flohr
, A. Honecker
, R. Hübel
, W. Nahm
, R. Varnhagen

^*Corresponding author for this work

University of Bonn

Research output: Contribution to journal › Article › Research › peer review

Abstract

In conformal field theory we investigate the representations of recently discovered W-algebras with a single generator in addition to the Virasoro field. We show that many of these W-algebras have only a finite number of highest-weight representations. We describe methods for the classification and give complete lists. In a sporadic case we determine characters and fusion rules. Different methods are used for W-algebras with continuously variable and for those with fixed central extension.

Original language	English
Pages (from-to)	249-288
Number of pages	40
Journal	Nuclear Physics, Section B
Volume	383
Issue number	1-2
DOIs	https://doi.org/10.1016/0550-3213(92)90679-6
Publication status	Published - 21 Sept 1992
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/0550-3213(92)90679-6

Cite this

@article{217dfb96a0704af396de53b7edb98a1c,

title = "Representations of W-algebras with two generators and new rational models",

abstract = "In conformal field theory we investigate the representations of recently discovered W-algebras with a single generator in addition to the Virasoro field. We show that many of these W-algebras have only a finite number of highest-weight representations. We describe methods for the classification and give complete lists. In a sporadic case we determine characters and fusion rules. Different methods are used for W-algebras with continuously variable and for those with fixed central extension.",

author = "W. Eholzer and M. Flohr and A. Honecker and R. H{\"u}bel and W. Nahm and R. Varnhagen",

year = "1992",

month = sep,

day = "21",

doi = "10.1016/0550-3213(92)90679-6",

language = "English",

volume = "383",

pages = "249--288",

journal = "Nuclear Physics, Section B",

issn = "0550-3213",

publisher = "Elsevier BV",

number = "1-2",

}

TY - JOUR

T1 - Representations of W-algebras with two generators and new rational models

AU - Eholzer, W.

AU - Flohr, M.

AU - Honecker, A.

AU - Hübel, R.

AU - Nahm, W.

AU - Varnhagen, R.

PY - 1992/9/21

Y1 - 1992/9/21

N2 - In conformal field theory we investigate the representations of recently discovered W-algebras with a single generator in addition to the Virasoro field. We show that many of these W-algebras have only a finite number of highest-weight representations. We describe methods for the classification and give complete lists. In a sporadic case we determine characters and fusion rules. Different methods are used for W-algebras with continuously variable and for those with fixed central extension.

AB - In conformal field theory we investigate the representations of recently discovered W-algebras with a single generator in addition to the Virasoro field. We show that many of these W-algebras have only a finite number of highest-weight representations. We describe methods for the classification and give complete lists. In a sporadic case we determine characters and fusion rules. Different methods are used for W-algebras with continuously variable and for those with fixed central extension.

UR - https://www.scopus.com/pages/publications/0001441370

U2 - 10.1016/0550-3213(92)90679-6

DO - 10.1016/0550-3213(92)90679-6

M3 - Article

AN - SCOPUS:0001441370

SN - 0550-3213

VL - 383

SP - 249

EP - 288

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -

Representations of W-algebras with two generators and new rational models

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this