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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.09428 |
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| _version_ | 1866917399034331136 |
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| author | Collinucci, Andrés Moleti, Marina Valandro, Roberto |
| author_facet | Collinucci, Andrés Moleti, Marina Valandro, Roberto |
| contents | We develop a framework to construct worldvolume gauge theories on D2-branes probing compound Du Val (cDV) Calabi-Yau threefold singularities. By viewing these singularities as ADE surface fibrations over the complex $w$-plane, we encode their geometry in a Higgs field $Φ(w)$. A D2-brane probe perceives $Φ(w)$ as an $\mathcal{N}=2$ deformation of its 3d $\mathcal{N}=4$ affine Dynkin quiver gauge theory via polynomial and monopole superpotential terms. By exploiting 3d mirror symmetry, we obtain an effective theory that correctly reproduces the quiver-collapsing mechanism known in the mathematical literature. We present several examples, including non-toric and non-resolvable cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09428 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | D2-brane probes of non-toric cDV threefolds via monopole superpotentials Collinucci, Andrés Moleti, Marina Valandro, Roberto High Energy Physics - Theory We develop a framework to construct worldvolume gauge theories on D2-branes probing compound Du Val (cDV) Calabi-Yau threefold singularities. By viewing these singularities as ADE surface fibrations over the complex $w$-plane, we encode their geometry in a Higgs field $Φ(w)$. A D2-brane probe perceives $Φ(w)$ as an $\mathcal{N}=2$ deformation of its 3d $\mathcal{N}=4$ affine Dynkin quiver gauge theory via polynomial and monopole superpotential terms. By exploiting 3d mirror symmetry, we obtain an effective theory that correctly reproduces the quiver-collapsing mechanism known in the mathematical literature. We present several examples, including non-toric and non-resolvable cases. |
| title | D2-brane probes of non-toric cDV threefolds via monopole superpotentials |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.09428 |