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On Conformal Jordan Cells of Finite and Infinite Rank

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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. How a procedure similar to Lie algebra contractions may reduce a conformal Jordan cell of finite rank to one of lower rank is also discussed. 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.

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Authors and Affiliations

  1. Centre de recherches mathématiques, Université de Montréal, Case postale 6128, succursale centre-ville, Montréal, QC, Canada, H3C 3J7

    Jørgen Rasmussen

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  1. Jørgen Rasmussen
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Correspondence to Jørgen Rasmussen.

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MSC (2000): 81T40

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Rasmussen, J. On Conformal Jordan Cells of Finite and Infinite Rank. Lett Math Phys 73, 83–90 (2005). https://doi.org/10.1007/s11005-005-0001-2

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  • DOI: https://doi.org/10.1007/s11005-005-0001-2

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