Details
| Original language | English |
|---|---|
| Pages (from-to) | 523-552 |
| Number of pages | 30 |
| Journal | Nuclear Physics B |
| Volume | 514 |
| Issue number | 3 |
| Publication status | Published - 23 Mar 1998 |
| Externally published | Yes |
Abstract
Null vectors are generalized to the case of indecomposable representations which are one of the main features of logarithmic conformal field theories. This is done by developing a compact formalism with the particular advantage that the stress energy tensor acting on Jordan cells of primary fields and their logarithmic partners can still be represented in form of linear differential operators. Since the existence of singular vectors is subject to much stronger constraints than in regular conformal field theory, they also provide a powerful tool for the classification of logarithmic conformal field theories.
Keywords
- Conformal field theory, Non-unitarity representations, Supersymmetry, Virasoro algebra
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 514, No. 3, 23.03.1998, p. 523-552.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Singular vectors in logarithmic conformal field theories
AU - Flohr, Michael A.I.
PY - 1998/3/23
Y1 - 1998/3/23
N2 - Null vectors are generalized to the case of indecomposable representations which are one of the main features of logarithmic conformal field theories. This is done by developing a compact formalism with the particular advantage that the stress energy tensor acting on Jordan cells of primary fields and their logarithmic partners can still be represented in form of linear differential operators. Since the existence of singular vectors is subject to much stronger constraints than in regular conformal field theory, they also provide a powerful tool for the classification of logarithmic conformal field theories.
AB - Null vectors are generalized to the case of indecomposable representations which are one of the main features of logarithmic conformal field theories. This is done by developing a compact formalism with the particular advantage that the stress energy tensor acting on Jordan cells of primary fields and their logarithmic partners can still be represented in form of linear differential operators. Since the existence of singular vectors is subject to much stronger constraints than in regular conformal field theory, they also provide a powerful tool for the classification of logarithmic conformal field theories.
KW - Conformal field theory
KW - Non-unitarity representations
KW - Supersymmetry
KW - Virasoro algebra
UR - http://www.scopus.com/inward/record.url?scp=0032559747&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/9707090
DO - 10.48550/arXiv.hep-th/9707090
M3 - Article
AN - SCOPUS:0032559747
VL - 514
SP - 523
EP - 552
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -