ar X iv : h ep - t h / 97 02 02 6 v 1 3 F eb 1 99 7 Bailey flows and Bose – Fermi identities for the conformal

نویسندگان

  • Alexander Berkovich
  • Barry M. McCoy
  • Anne Schilling
  • S. Ole Warnaar
چکیده

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 ×(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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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 ×(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 ...

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تاریخ انتشار 1997