Six Easy Pieces: interplays among dualities in 4d, 3d and 2d
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909956761976832 |
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| author | Amariti, Antonio Glorioso, Pietro Mascherpa, Chiara Zanetti, Andrea |
| author_facet | Amariti, Antonio Glorioso, Pietro Mascherpa, Chiara Zanetti, Andrea |
| contents | In this paper we consider 4d $\mathrm{SU}(N)$ gauge theories with $N+1$ fundamentals, five antifundamentals and a conjugate two index antisymmetric tensor. The model has been shown to be in a mixed phase in the IR, splitting in an interacting non-Abelian Coulomb phase and a free magnetic phase. Through tensor deconfinement, we show that baryonic deformations lead to a non-Abelian free magnetic phase. Along the analysis we obtain a duality with symplectic SQCD that can be further reduced to 3d and 2d. In the 3d case the analysis of the three sphere partition function allows one to obtain dualities between $\mathrm{SU}(N)$ with a two index symmetric tensor and $\mathrm{SO}(N)$ theories. On the other hand, in 2d we recover dualities already known in the literature and propose new ones between special unitary and symplectic gauge theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_10495 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Six Easy Pieces: interplays among dualities in 4d, 3d and 2d Amariti, Antonio Glorioso, Pietro Mascherpa, Chiara Zanetti, Andrea High Energy Physics - Theory In this paper we consider 4d $\mathrm{SU}(N)$ gauge theories with $N+1$ fundamentals, five antifundamentals and a conjugate two index antisymmetric tensor. The model has been shown to be in a mixed phase in the IR, splitting in an interacting non-Abelian Coulomb phase and a free magnetic phase. Through tensor deconfinement, we show that baryonic deformations lead to a non-Abelian free magnetic phase. Along the analysis we obtain a duality with symplectic SQCD that can be further reduced to 3d and 2d. In the 3d case the analysis of the three sphere partition function allows one to obtain dualities between $\mathrm{SU}(N)$ with a two index symmetric tensor and $\mathrm{SO}(N)$ theories. On the other hand, in 2d we recover dualities already known in the literature and propose new ones between special unitary and symplectic gauge theories. |
| title | Six Easy Pieces: interplays among dualities in 4d, 3d and 2d |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.10495 |