Singular vectors in logarithmic conformal field theories

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 a...

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Bibliographic Details
Published inNuclear physics. B Vol. 514; no. 3; pp. 523 - 552
Main Author Flohr, Michael A.I.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 23.03.1998
Subjects
Conformal field theory
Non-unitarity representations
Supersymmetry
Virasoro algebra
02.20.Tw
Conformal field theory
Supersymmetry
11.10.Kk
Virasoro algebra
11.25.Hf
11.30.Pb
Non-unitarity representations
11.30.-j
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ISSN0550-3213
1873-1562
DOI10.1016/S0550-3213(97)00012-6

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Summary: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.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(97)00012-6