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arXiv · hep-th/0212084

K-matrices for 2D conformal field theories

E. Ardonne·P. Bouwknegt·P. Dawson
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Abstract

In this paper we examine fermionic type characters (Universal Chiral Partition Functions) for general 2D conformal field theories with a bilinear form given by a matrix of the form K \oplus K^{-1}. We provide various techniques for determining these K-matrices, and apply these to a variety of examples including (higher level) WZW and coset conformal field theories. Applications of our results to fractional quantum Hall systems and (level restricted) Kostka polynomials are discussed.

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E. Ardonne, P. Bouwknegt, P. Dawson. 2003-05-30. K-matrices for 2D conformal field theories. https://doi.org/10.1016/s0550-3213(03)00223-2

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