Jordan cells in logarithmic limits of conformal field theory
Jun, 2004Citations per year
Abstract: (arXiv)
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.Note:
- 16 pages, v2: discussion of three-point functions and characters included; ref. added, v3: version to be published
- 11.25.Hf
- Logarithmic conformal field theory
- minimal models
- Virasoro characters
- field theory: conformal
- dimension: 2
- two-point function
- analytic properties
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