Details
| Original language | English |
|---|---|
| Article number | 012 |
| Pages (from-to) | 15245-15286 |
| Number of pages | 42 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 39 |
| Issue number | 49 |
| Early online date | 21 Nov 2006 |
| Publication status | Published - 8 Dec 2006 |
| Externally published | Yes |
Abstract
In this paper, we present explicit results for the fusion of irreducible and higher rank representations in two logarithmically conformal models, the augmented c2,3 = 0 model as well as the augmented Yang-Lee model at c2,5 = -22/5. We analyse their spectrum of representations which is consistent with the symmetry and associativity of the fusion algebra. We also describe the first few higher rank representations in detail. In particular, we present the first examples of consistent rank 3 indecomposable representations and describe their embedding structure. Knowing these two generic models we also conjecture the general representation content and fusion rules for general augmented cp,q models.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics A: Mathematical and General, Vol. 39, No. 49, 012, 08.12.2006, p. 15245-15286.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Virasoro representations and fusion for general augmented minimal models
AU - Eberle, Holger
AU - Flohr, Michael
PY - 2006/12/8
Y1 - 2006/12/8
N2 - In this paper, we present explicit results for the fusion of irreducible and higher rank representations in two logarithmically conformal models, the augmented c2,3 = 0 model as well as the augmented Yang-Lee model at c2,5 = -22/5. We analyse their spectrum of representations which is consistent with the symmetry and associativity of the fusion algebra. We also describe the first few higher rank representations in detail. In particular, we present the first examples of consistent rank 3 indecomposable representations and describe their embedding structure. Knowing these two generic models we also conjecture the general representation content and fusion rules for general augmented cp,q models.
AB - In this paper, we present explicit results for the fusion of irreducible and higher rank representations in two logarithmically conformal models, the augmented c2,3 = 0 model as well as the augmented Yang-Lee model at c2,5 = -22/5. We analyse their spectrum of representations which is consistent with the symmetry and associativity of the fusion algebra. We also describe the first few higher rank representations in detail. In particular, we present the first examples of consistent rank 3 indecomposable representations and describe their embedding structure. Knowing these two generic models we also conjecture the general representation content and fusion rules for general augmented cp,q models.
UR - http://www.scopus.com/inward/record.url?scp=33846631309&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/0604097
DO - 10.48550/arXiv.hep-th/0604097
M3 - Article
AN - SCOPUS:33846631309
VL - 39
SP - 15245
EP - 15286
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 49
M1 - 012
ER -