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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.13909 |
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| _version_ | 1866909168822124544 |
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| author | Cremonesi, Stefano Sá, José |
| author_facet | Cremonesi, Stefano Sá, José |
| contents | We study one-parameter families of $U(1)^2$ preserving deformations relating pairs of toric quiver gauge theories on D-branes probing local toric (pseudo) del Pezzo surfaces. The superpotential deformations are defined by zig-zag paths in the brane tiling and are non-trivial in the chiral ring if the geometry has a non-isolated singularity. In the dual $(p,q)$ web, the deformation is realized as a Hanany-Witten move that reverses a semi-infinite fivebrane. We use these deformations to find RG flows between 4d $\mathcal{N}=1$ SCFTs on D3-branes probing local toric (pseudo) del Pezzo surfaces of the same degree, and briefly comment on the interpretation for BPS quivers of rank one 5d SCFTs on $S^1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13909 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Zig-zag deformations of toric quiver gauge theories. Part I: reflexive polytopes Cremonesi, Stefano Sá, José High Energy Physics - Theory We study one-parameter families of $U(1)^2$ preserving deformations relating pairs of toric quiver gauge theories on D-branes probing local toric (pseudo) del Pezzo surfaces. The superpotential deformations are defined by zig-zag paths in the brane tiling and are non-trivial in the chiral ring if the geometry has a non-isolated singularity. In the dual $(p,q)$ web, the deformation is realized as a Hanany-Witten move that reverses a semi-infinite fivebrane. We use these deformations to find RG flows between 4d $\mathcal{N}=1$ SCFTs on D3-branes probing local toric (pseudo) del Pezzo surfaces of the same degree, and briefly comment on the interpretation for BPS quivers of rank one 5d SCFTs on $S^1$. |
| title | Zig-zag deformations of toric quiver gauge theories. Part I: reflexive polytopes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.13909 |