K-matrices for 2D conformal field theories

Eddy Ardonne; Peter Bouwknegt; Peter Dawson

doi:10.1016/S0550-3213(03)00223-2

K-matrices for 2D conformal field theories

Eddy Ardonne^*, Peter Bouwknegt, Peter Dawson

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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⊕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.

Original language	English
Pages (from-to)	473-531
Number of pages	59
Journal	Nuclear Physics B
Volume	660
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(03)00223-2
Publication status	Published - 30 Jun 2003
Externally published	Yes

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10.1016/S0550-3213(03)00223-2

Cite this

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title = "K-matrices for 2D conformal field theories",

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⊕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.",

author = "Eddy Ardonne and Peter Bouwknegt and Peter Dawson",

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T1 - K-matrices for 2D conformal field theories

AU - Ardonne, Eddy

AU - Bouwknegt, Peter

AU - Dawson, Peter

PY - 2003/6/30

Y1 - 2003/6/30

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0038246550

U2 - 10.1016/S0550-3213(03)00223-2

DO - 10.1016/S0550-3213(03)00223-2

M3 - Article

SN - 0550-3213

VL - 660

SP - 473

EP - 531

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

K-matrices for 2D conformal field theories

Abstract

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