N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2018
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| _version_ | 1866910331445444608 |
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| author | Benini, Francesco Benvenuti, Sergio |
| author_facet | Benini, Francesco Benvenuti, Sergio |
| contents | We consider three-dimensional sQED with 2 flavors and minimal supersymmetry. We discuss various models which are dual to Gross-Neveu-Yukawa theories. The $U(2)$ ultraviolet global symmetry is often enhanced in the infrared, for instance to $O(4)$ or $SU(3)$. This is analogous to the conjectured behaviour of non-supersymmetric QED with 2 flavors. A perturbative analysis of the Gross-Neveu-Yukawa models in the $D = 4 - \varepsilon$ expansion shows that the $U(2)$ preserving superpotential deformations of the sQED (modulo tuning mass terms to zero) are irrelevant, so the fixed points with enhanced symmetry are stable. We also construct an example of $\mathcal{N} = 2$ sQED with 4 flavors that exhibits enhanced $SO(6)$ symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_05707 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries Benini, Francesco Benvenuti, Sergio High Energy Physics - Theory We consider three-dimensional sQED with 2 flavors and minimal supersymmetry. We discuss various models which are dual to Gross-Neveu-Yukawa theories. The $U(2)$ ultraviolet global symmetry is often enhanced in the infrared, for instance to $O(4)$ or $SU(3)$. This is analogous to the conjectured behaviour of non-supersymmetric QED with 2 flavors. A perturbative analysis of the Gross-Neveu-Yukawa models in the $D = 4 - \varepsilon$ expansion shows that the $U(2)$ preserving superpotential deformations of the sQED (modulo tuning mass terms to zero) are irrelevant, so the fixed points with enhanced symmetry are stable. We also construct an example of $\mathcal{N} = 2$ sQED with 4 flavors that exhibits enhanced $SO(6)$ symmetry. |
| title | N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/1804.05707 |