Singular vectors in logarithmic conformal field theories

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Michael A.I. Flohr

External Research Organisations

  • Institute for Advanced Studies
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Details

Original languageEnglish
Pages (from-to)523-552
Number of pages30
JournalNuclear Physics B
Volume514
Issue number3
Publication statusPublished - 23 Mar 1998
Externally publishedYes

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

Cite this

Singular vectors in logarithmic conformal field theories. / Flohr, Michael A.I.
In: Nuclear Physics B, Vol. 514, No. 3, 23.03.1998, p. 523-552.

Research output: Contribution to journalArticleResearchpeer review

Flohr MAI. Singular vectors in logarithmic conformal field theories. Nuclear Physics B. 1998 Mar 23;514(3):523-552. doi: 10.48550/arXiv.hep-th/9707090, 10.1016/S0550-3213(97)00012-6
Flohr, Michael A.I. / Singular vectors in logarithmic conformal field theories. In: Nuclear Physics B. 1998 ; Vol. 514, No. 3. pp. 523-552.
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