Details
| Original language | English |
|---|---|
| Pages (from-to) | 441-466 |
| Number of pages | 26 |
| Journal | Nuclear Physics B |
| Volume | 741 |
| Issue number | 3 |
| Early online date | 13 Mar 2006 |
| Publication status | Published - 8 May 2006 |
| Externally published | Yes |
Abstract
In these notes we discuss the procedure how to calculate nullvectors in general indecomposable representations which are encountered in logarithmic conformal field theories. In particular, we do not make use of any of the restrictions which have been imposed in logarithmic nullvector calculations up to now, especially the quasi-primarity of all Jordan cell fields. For the quite well-studied cp, 1 models we calculate examples of logarithmic nullvectors which have not been accessible to the older methods and recover the known representation structure. Furthermore, we calculate logarithmic nullvectors in the up to now almost unexplored general augmented cp,q models and use these to find bounds on their possible representation structures.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 741, No. 3, 08.05.2006, p. 441-466.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Notes on generalised nullvectors in logarithmic CFT
AU - Eberle, Holger
AU - Flohr, Michael
PY - 2006/5/8
Y1 - 2006/5/8
N2 - In these notes we discuss the procedure how to calculate nullvectors in general indecomposable representations which are encountered in logarithmic conformal field theories. In particular, we do not make use of any of the restrictions which have been imposed in logarithmic nullvector calculations up to now, especially the quasi-primarity of all Jordan cell fields. For the quite well-studied cp, 1 models we calculate examples of logarithmic nullvectors which have not been accessible to the older methods and recover the known representation structure. Furthermore, we calculate logarithmic nullvectors in the up to now almost unexplored general augmented cp,q models and use these to find bounds on their possible representation structures.
AB - In these notes we discuss the procedure how to calculate nullvectors in general indecomposable representations which are encountered in logarithmic conformal field theories. In particular, we do not make use of any of the restrictions which have been imposed in logarithmic nullvector calculations up to now, especially the quasi-primarity of all Jordan cell fields. For the quite well-studied cp, 1 models we calculate examples of logarithmic nullvectors which have not been accessible to the older methods and recover the known representation structure. Furthermore, we calculate logarithmic nullvectors in the up to now almost unexplored general augmented cp,q models and use these to find bounds on their possible representation structures.
UR - http://www.scopus.com/inward/record.url?scp=33645887548&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/0512254
DO - 10.48550/arXiv.hep-th/0512254
M3 - Article
AN - SCOPUS:33645887548
VL - 741
SP - 441
EP - 466
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -