On conformal Jordan cells of finite and infinite rank

Abstract

This work concerns in part the construction of conformal Jordan cells of infinite rank and their reductions to conformal Jordan cells of finite rank. It is also discussed how a procedure similar to Lie algebra contractions may reduce a conformal Jordan cell of finite rank to one of lower rank. A conformal Jordan cell of rank one corresponds to a primary field. This offers a picture in which any finite conformal Jordan cell of a given conformal weight may be obtained from a universal covering cell of the same weight but infinite rank.

arXiv comment9 pages, LaTeX, v2: typo corrected, comments added, version to be published

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• The Logarithmic Conformal Field Theories
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Cited by in corpus (5)

• Virasoro representations and fusion for general augmented minimal models
• Holographic applications of logarithmic conformal field theories
• Loop-level gluon OPEs in celestial holography
• Jordan cells in logarithmic limits of conformal field theory
• Affine Jordan cells, logarithmic correlators, and hamiltonian reduction