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Jordan cells in logarithmic limits of conformal field theory

Jorgen Rasmussen
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Abstract

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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Jorgen Rasmussen. 2006-11-25. Jordan cells in logarithmic limits of conformal field theory. https://doi.org/10.1142/s0217751x07035136

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