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arXiv · hep-th/9702026

Bailey flows and Bose-Fermi identities for the conformal coset models $(A^{(1)}_1)_N\times (A^{(1)}_1)_{N'}/(A^{(1)}_1)_{N+N'}$

A. Berkovich·B. M. McCoy·A. Schilling·S. O. Warnaar
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Abstract

We use the recently established higher-level Bailey lemma and Bose-Fermi polynomial identities for the minimal models $M(p,p')$ to demonstrate the existence of a Bailey flow from $M(p,p')$ to the coset models $(A^{(1)}_1)_N\times (A^{(1)}_1)_{N'}/(A^{(1)}_1)_{N+N'}$ where $N$ is a positive integer and $N'$ is fractional, and to obtain Bose-Fermi identities for these models. The fermionic side of these identities is expressed in terms of the fractional-level Cartan matrix introduced in the study of $M(p,p')$. Relations between Bailey and renormalization group flow are discussed.

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A. Berkovich, B. M. McCoy, A. Schilling, S. O. Warnaar. 1997-02-14. Bailey flows and Bose-Fermi identities for the conformal coset models $(A^{(1)}_1)_N\times (A^{(1)}_1)_{N'}/(A^{(1)}_1)_{N+N'}$. https://doi.org/10.1016/s0550-3213(97)82955-0

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