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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.10698 |
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| _version_ | 1866908680316780544 |
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| author | Fang, Yuanyuan Yu, Zekai |
| author_facet | Fang, Yuanyuan Yu, Zekai |
| contents | We employ a novel approach,based on homological mirror symmetry for Landau-Ginzburg models,to demonstrate the non-existence of crepant resolutions for certain weighted homogeneous Gorenstein compound Du Val singularities.Physically,this implies that such singularities cannot serve as holographic backgrounds for four dimensional N=1 superconformal quiver gauge theories realized on the worldvolume of a large number of D3 branes placed at the singular locus.This is confirmed by enumerating all consistent quiver gauge theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10698 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On holographic duals of certain isolated weighted Gorenstein cDV singularities Fang, Yuanyuan Yu, Zekai High Energy Physics - Theory Mathematical Physics Algebraic Geometry We employ a novel approach,based on homological mirror symmetry for Landau-Ginzburg models,to demonstrate the non-existence of crepant resolutions for certain weighted homogeneous Gorenstein compound Du Val singularities.Physically,this implies that such singularities cannot serve as holographic backgrounds for four dimensional N=1 superconformal quiver gauge theories realized on the worldvolume of a large number of D3 branes placed at the singular locus.This is confirmed by enumerating all consistent quiver gauge theories. |
| title | On holographic duals of certain isolated weighted Gorenstein cDV singularities |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry |
| url | https://arxiv.org/abs/2412.10698 |