Bailey flows and Bose Fermi identities for the conformed coset models (A_1^(1))_N x (A_1^(1))_N' / (A_1^(1))_N+N'
Bailey flows and Bose Fermi identities for the conformed coset models (A_1^(1))_N x (A_1^(1))_N' / (A_1^(1))_N+N'
复制标题
一致陪集模型的贝利流和 Bose Fermi 恒等式 (A_1^(1))_N x (A_1^(1))_N / (A_1^(1))_N N
作者：
A. Berkovich;B. McCoy;A. Schilling;S. Warnaar
利用最近建立的最小模型M（p, p）的高级Bailey引理和Bose-Fermi多项式恒等式，证明了从M（p, p）到协集模型（a (1) 1） N ×（a (1) 1） N ‘ /(a (1) 1) N+N ’的Bailey流的存在性，其中N是正整数，N '是分数型。这些恒等式的费米子方面是用分数级卡坦矩阵表示的，这是在研究M（p, p）时引入的。讨论了贝利流与重整化群流之间的关系。
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.