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. 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.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 August 2005
 DOI:
 10.1007/s1100500500012
 arXiv:
 arXiv:hepth/0408029
 Bibcode:
 2005LMaPh..73...83R
 Keywords:

 logarithmic conformal field theory;
 Jordan cells;
 High Energy Physics  Theory
 EPrint:
 9 pages, LaTeX, v2: typo corrected, comments added, version to be published