Superdeformed $\mathbb{CP}$ $σ$-model equivalence
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913592199086080 |
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| author | Pribytok, Anton |
| author_facet | Pribytok, Anton |
| contents | We find the novel class of the supersymmetric deformation of the $\mathbb{CP}^{1}$ $σ$-model and its equivalence with the generalised chiral Gross-Neveu. This construction allows the use of field-theoretic techniques and particularly the study of renormalisability and $β$-function. Provided approach is useful in finding conformal limits and establishes relation between chiral (GN) and sigma model description (geometric), which is explicitly demonstrated for the case of $ \mathbb{R} \times S^{1} $/Super-Thirring models. We also provide discussion on its emergence in $\mathcal{N}=2$ Liouville and 4-dim Chern-Simons theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superdeformed $\mathbb{CP}$ $σ$-model equivalence Pribytok, Anton High Energy Physics - Theory Mathematical Physics We find the novel class of the supersymmetric deformation of the $\mathbb{CP}^{1}$ $σ$-model and its equivalence with the generalised chiral Gross-Neveu. This construction allows the use of field-theoretic techniques and particularly the study of renormalisability and $β$-function. Provided approach is useful in finding conformal limits and establishes relation between chiral (GN) and sigma model description (geometric), which is explicitly demonstrated for the case of $ \mathbb{R} \times S^{1} $/Super-Thirring models. We also provide discussion on its emergence in $\mathcal{N}=2$ Liouville and 4-dim Chern-Simons theory. |
| title | Superdeformed $\mathbb{CP}$ $σ$-model equivalence |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2412.00670 |