On conformal Jordan cells of finite and infinite rank

Details On conformal Jordan cells of finite and infinite rank On conformal Jordan cells of finite and infinite rank

2004-08-03

arxiv.org/abs/hep-th/0408029v2

Lett.Math.Phys. 73 (2005) 83-90

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/s11005-005-0001-2

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.

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