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arXiv 2002-12-06 DOI 10.1016/S0550-3213(03)00223-2 0 views

K-matrices for 2D conformal field theories

Ardonne, E. · Bouwknegt, P. · Dawson, P.

Original · EN

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 ⊕ 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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