On duality of four dimensional $\mathcal{N}=1$ gauge theory
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914700843810816 |
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| author | Fang, Yuanyuan Feng, Jing Xie, Dan |
| author_facet | Fang, Yuanyuan Feng, Jing Xie, Dan |
| contents | We show that Seiberg-like duality of $\mathcal{N}=1$ gauge theory coupled with tensor chiral fields and fundamental chiral fields works if the meson spectrum built from the tensor fields takes particular form: a) It should be truncated; b) The $R$ charges of tensor fields $\{R_a\}$ and the truncated mesons $\{R_j\}$ take very special values. The meson spectrum so that the duality works is encoded elegantly in the factorization of the polynomial $y^n-1=Φ_{+}Φ_{-}$. Our consideration covers many known $\mathcal{N}=1$ dualities and generates a large class of new examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01750 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On duality of four dimensional $\mathcal{N}=1$ gauge theory Fang, Yuanyuan Feng, Jing Xie, Dan High Energy Physics - Theory We show that Seiberg-like duality of $\mathcal{N}=1$ gauge theory coupled with tensor chiral fields and fundamental chiral fields works if the meson spectrum built from the tensor fields takes particular form: a) It should be truncated; b) The $R$ charges of tensor fields $\{R_a\}$ and the truncated mesons $\{R_j\}$ take very special values. The meson spectrum so that the duality works is encoded elegantly in the factorization of the polynomial $y^n-1=Φ_{+}Φ_{-}$. Our consideration covers many known $\mathcal{N}=1$ dualities and generates a large class of new examples. |
| title | On duality of four dimensional $\mathcal{N}=1$ gauge theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.01750 |