Prelogarithmic operators and Jordan blocks in SL(2)_k affine algebra
Gaston Giribet
TL;DR
This paper investigates the structure of logarithmic and prelogarithmic operators in the SL(2)_k affine algebra within non-compact Wess-Zumino-Witten models, focusing on Jordan blocks and the puncture operator.
Contribution
It provides a detailed analysis of Jordan blocks and the role of the puncture operator in the context of SL(2)_k affine algebra logarithmic conformal field theories.
Findings
Characterization of Jordan blocks in SL(2)_k algebra
Role of puncture operator in unitarity bound
Insights into logarithmic operator structure
Abstract
The free field description of logarithmic and prelogarithmic operators in non compact Wess-Zumino-Witten model is analysed. We study the structure of the Jordan blocks of the SL(2)_k affine algebra and the role of the puncture operator in the theory in relation with the unitarity bound.
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