Deconfinements, Kutasov-Schwimmer dualities and $D_p[SU(N)]$ theories
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| Format: | Preprint |
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2024
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| _version_ | 1866913432217845760 |
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| author | Benvenuti, Sergio Comi, Riccardo Pasquetti, Sara Sacchi, Matteo |
| author_facet | Benvenuti, Sergio Comi, Riccardo Pasquetti, Sara Sacchi, Matteo |
| contents | Kutasov-Schwimmer (KS) dualities involve a rank-$2$ field with a polynomial superpotential. We derive KS-like dualities via deconfinement, that is assuming only Seiberg-like dualities, which instead just involve fundamental matter. Our derivation is split into two main steps. The first step is the construction of two families of linear quivers with $p\!-\!1$ nodes that confine into a rank-$2$ chiral field with degree-$(p\!+\!1)$ superpotential. Such chiral field is an $U(N)$ adjoint in 3d and an $USp(2N)$ antisymmetric in 4d. In the second step we use these linear quivers to derive, via deconfinement, in a relatively straightforward fashion, two classes of KS-like dualities: the Kim-Park duality for $U(N)$ with adjoint in 3d and the Intriligator duality for $USp(2N)$ with antisymmetric in 4d. We also discuss the close relation of our 3d family of confining unitary quivers to the 4d $\mathcal{N}\!=\!2$ $D_p[SU(N)]$ SCFTs by circle compactification and various deformations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_11134 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deconfinements, Kutasov-Schwimmer dualities and $D_p[SU(N)]$ theories Benvenuti, Sergio Comi, Riccardo Pasquetti, Sara Sacchi, Matteo High Energy Physics - Theory Kutasov-Schwimmer (KS) dualities involve a rank-$2$ field with a polynomial superpotential. We derive KS-like dualities via deconfinement, that is assuming only Seiberg-like dualities, which instead just involve fundamental matter. Our derivation is split into two main steps. The first step is the construction of two families of linear quivers with $p\!-\!1$ nodes that confine into a rank-$2$ chiral field with degree-$(p\!+\!1)$ superpotential. Such chiral field is an $U(N)$ adjoint in 3d and an $USp(2N)$ antisymmetric in 4d. In the second step we use these linear quivers to derive, via deconfinement, in a relatively straightforward fashion, two classes of KS-like dualities: the Kim-Park duality for $U(N)$ with adjoint in 3d and the Intriligator duality for $USp(2N)$ with antisymmetric in 4d. We also discuss the close relation of our 3d family of confining unitary quivers to the 4d $\mathcal{N}\!=\!2$ $D_p[SU(N)]$ SCFTs by circle compactification and various deformations. |
| title | Deconfinements, Kutasov-Schwimmer dualities and $D_p[SU(N)]$ theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.11134 |