Title of article :
Modular data and Verlinde formulae for fractional level WZW models I Original Research Article
Author/Authors :
Thomas Creutzig، نويسنده , , David Ridout، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2012
Pages :
32
From page :
83
To page :
114
Abstract :
The modular properties of fractional level image-theories and, in particular, the application of the Verlinde formula, have a long and checkered history in conformal field theory. Recent advances in logarithmic conformal field theory have led to the realisation that problems with fractional level models stem from trying to build the theory with an insufficiently rich category of representations. In particular, the appearance of negative fusion coefficients for admissible highest weight representations is now completely understood. Here, the modular story for certain fractional level theories is completed. Modular transformations are derived for the complete set of admissible irreducible representations when the level is image or image. The S-matrix data and Verlinde formula are then checked against the known fusion rules with complete agreement. Finally, an infinite set of modular invariant partition functions is constructed in each case.
Journal title :
Nuclear Physics B
Serial Year :
2012
Journal title :
Nuclear Physics B
Record number :
946600
Link To Document :
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