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arXiv · 2505.18123

Comment on "Geometry of the Grosse-Wulkenhaar model"

Dragan Prekrat
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Abstract

We clarify a key point in the geometric reinterpretation of the Grosse$\unicode{x2013}$Wulkenhaar (GW) model proposed in "Geometry of the Grosse-Wulkenhaar model" [JHEP 03 (2010) 053]. Specifically, we show that the analysis in Section 6 was performed not for the actual $\Omega$-term in the GW action, which involves both ordinary and star-products, but for a closely related term containing only star-products. Once corrected, the main conclusion$\unicode{x2014}$relating the harmonic potential term to background curvature$\unicode{x2014}$remains valid, though the parameter identification must be revised. This also resolves a discrepancy concerning the emergence of certain vacuum solutions in the self-dual limit of the model.

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Dragan Prekrat. 2025-05-23. Comment on "Geometry of the Grosse-Wulkenhaar model". https://doi.org/10.1142/s0219887826502798

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