Jordan cells in logarithmic limits of conformal field theory

Details Jordan cells in logarithmic limits of conformal field theory Jordan cells in logarithmic limits of conformal field theory

2004-06-13

arxiv.org/abs/hep-th/0406110v3

Int.J.Mod.Phys. A22 (2007) 67-82

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, v2: discussion of three-point functions and characters included; ref. added, v3: version to be published

Scientific paper

10.1142/S0217751X07035136

It is discussed how a limiting procedure of conformal field theories may result in logarithmic conformal field theories with Jordan cells of arbitrary rank. This extends our work on rank-two Jordan cells. We also consider the limits of certain three-point functions and find that they are compatible with known results. The general construction is illustrated by logarithmic limits of (unitary) minimal models in conformal field theory. Characters of quasi-rational representations are found to emerge as the limits of the associated irreducible Virasoro characters.

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