# A Chern-Simons theory view of noncommutative scalar field theory

@article{Santilli2018ACT, title={A Chern-Simons theory view of noncommutative scalar field theory}, author={Leonardo Santilli and Miguel Tierz}, journal={arXiv: High Energy Physics - Theory}, year={2018} }

We show that a version of Abelian gauge theory on $\mathbb{R}^3_\lambda $, when restricted to a single fuzzy sphere, reduces in the large $N$ limit to the Langmann-Szabo-Zarembo (LSZ) matrix model, which originally emerges in the study of scalar field theory on the Moyal plane. We then prove that the LSZ matrix model is actually equivalent to the matrix model of $U(N)$ Chern-Simons theory on $\mathbb{S}^3$. The correspondence holds in a generalized sense: depending on the spectra of the two…

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