K-matrices for 2D conformal field theories

Details K-matrices for 2D conformal field theories K-matrices for 2D conformal field theories

2002-12-06

arxiv.org/abs/hep-th/0212084v3

Nucl.Phys. B660 (2003) 473-531

Physics

High Energy Physics

High Energy Physics - Theory

59 pages, 2 figures, v2: note added, minor changes, references added, v3: typos corrected

Scientific paper

10.1016/S0550-3213(03)00223-2

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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