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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2505.18123 |
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| _version_ | 1866911602205261824 |
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| author | Prekrat, Dragan |
| author_facet | Prekrat, Dragan |
| contents | 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 $Ω$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comment on "Geometry of the Grosse-Wulkenhaar model" Prekrat, Dragan High Energy Physics - Theory 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 $Ω$-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. |
| title | Comment on "Geometry of the Grosse-Wulkenhaar model" |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.18123 |