# Minimal Model Fusion Rules From 2-Groups

@article{Akman1996MinimalMF, title={Minimal Model Fusion Rules From 2-Groups}, author={Fusun Akman and Alex J. Feingold and Michael D. Weiner}, journal={Letters in Mathematical Physics}, year={1996}, volume={40}, pages={159-169} }

AbstractThe fusion rules for the (p,q)-minimal model representations of the Virasoro algebra are shown to come from the group
$$G = \mathbb{Z}_2^{p + q - 5} $$
in the following manner. There is a partition
$$G = P_1 \cup \; \cdot \cdot \cdot \; \cup P_N $$
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\nolimits_k {D(S_i ,S_j ,S_k )S_k…

## 4 Citations

Type A fusion rules from elementary group theory

- Mathematics, Physics
- 2000

We show how the fusion rules for an affine Kac-Moody Lie algebra g of type A_{n-1}, n = 2 or 3, for all positive integral level k, can be obtained from elementary group theory. The orbits of the kth…

A new perspective on the Frenkel–Zhu fusion rule theorem

- Mathematics, Physics
- 2008

Abstract In this paper we prove a formula for fusion coefficients of affine Kac–Moody algebras first conjectured by Walton [M.A. Walton, Tensor products and fusion rules, Canad. J. Phys. 72 (1994)…

Fusion Rules for Affine Kac-Moody Algebras

- Mathematics, Physics
- 2002

This is an expository introduction to fusion rules for affine Kac-Moody algebras, with major focus on the algorithmic aspects of their computation and the relationship with tensor product…

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