Minimal model fusion rules from 2-groups

Fusun Akman; Alex J. Feingold; Michael D. Weiner

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arXiv · q-alg/9601004

Minimal model fusion rules from 2-groups

Fusun Akman·Alex J. Feingold·Michael D. Weiner

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Abstract

The fusion rules for the $(p,q)$-minimal model representations of the Virasoro algebra are shown to come from the group $G = \boZ_2^{p+q-5}$ in the following manner. There is a partition $G = P_1 \cup ...\cup P_N$ into disjoint subsets and a bijection between $\{P_1,...,P_N\}$ and the sectors $\{S_1,...,S_N\}$ of the $(p,q)$-minimal model such that the fusion rules $S_i * S_j = \sum_k D(S_i,S_j,S_k) S_k$ correspond to $P_i * P_j = \sum_{k\in T(i,j)} P_k$ where $T(i,j) = \{k|\exists a\in P_i,\exists b\in P_j, a+b\in P_k\}$.

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BibTeX RIS

Fusun Akman, Alex J. Feingold, Michael D. Weiner. 1996-01-05. Minimal model fusion rules from 2-groups. https://arxiv.org/abs/q-alg/9601004

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