Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 179-212 |
| Seitenumfang | 34 |
| Fachzeitschrift | Communications in Mathematical Physics |
| Jahrgang | 157 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - Okt. 1993 |
| Extern publiziert | Ja |
Abstract
Two series of W with two generators are constructed from chiral vertex operators of a free field representation. If c=1-24 k, there exists a W(2, 3k) algebra for k ∈ ℤ+/2 and a W(2, 8k) algebra for k ∈ ℤ+/4. All possible lowest-weight representations, their characters and fusion rules are calculated proving that these theories are rational. It is shown, that these non-unitary theories complete the classification of all rational theories with effective central charge ceff=1. The results are generalized to the case of extended supersymmetric conformal algebras.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Statistische und nichtlineare Physik
- Mathematik (insg.)
- Mathematische Physik
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in: Communications in Mathematical Physics, Jahrgang 157, Nr. 1, 10.1993, S. 179-212.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
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TY - JOUR
T1 - W-Algebras, new rational models and completeness of the c=1 classification
AU - Flohr, Michael
PY - 1993/10
Y1 - 1993/10
N2 - Two series of W with two generators are constructed from chiral vertex operators of a free field representation. If c=1-24 k, there exists a W(2, 3k) algebra for k ∈ ℤ+/2 and a W(2, 8k) algebra for k ∈ ℤ+/4. All possible lowest-weight representations, their characters and fusion rules are calculated proving that these theories are rational. It is shown, that these non-unitary theories complete the classification of all rational theories with effective central charge ceff=1. The results are generalized to the case of extended supersymmetric conformal algebras.
AB - Two series of W with two generators are constructed from chiral vertex operators of a free field representation. If c=1-24 k, there exists a W(2, 3k) algebra for k ∈ ℤ+/2 and a W(2, 8k) algebra for k ∈ ℤ+/4. All possible lowest-weight representations, their characters and fusion rules are calculated proving that these theories are rational. It is shown, that these non-unitary theories complete the classification of all rational theories with effective central charge ceff=1. The results are generalized to the case of extended supersymmetric conformal algebras.
UR - http://www.scopus.com/inward/record.url?scp=21344476935&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/9207019
DO - 10.48550/arXiv.hep-th/9207019
M3 - Article
AN - SCOPUS:21344476935
VL - 157
SP - 179
EP - 212
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 1
ER -