Fusion rules for the triplet $W$-algebra $\mathcal{W}_{p_+,p_-}$
Quantum Algebra
2023-08-31 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We study the structure of fusion rules for the triplet -algebra . By using the vertex tensor category theory developed by Huang, Lepowsky and Zhang, we rederive certain non-semisimple fusion rules given by Gaberdiel-Runkel-Wood and Rasmussen. We further show that certain rank two and three indecomposable modules are self-dual.
Keywords
Cite
@article{arxiv.2308.15954,
title = {Fusion rules for the triplet $W$-algebra $\mathcal{W}_{p_+,p_-}$},
author = {Hiromu Nakano},
journal= {arXiv preprint arXiv:2308.15954},
year = {2023}
}
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65 pages