3d Chern--Simons matter theories from generalized Argyres--Douglas theories
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911449266257920 |
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| author | Nishinaka, Takahiro Yoshida, Yutaka |
| author_facet | Nishinaka, Takahiro Yoshida, Yutaka |
| contents | We study 3d $\mathcal{N}=2$ Chern--Simons matter theories describing the R-twisted $S^1$-reduction of Argyres--Douglas theories of $(A_{M-1},A_{N-1})$ type with $\text{gcd}(M,N)=1$, via a recently-proposed 4d/3d correspondence. In particular, for the $(A_2,A_{N-1})$ and $(A_3,A_{N-1})$ theories, we identify a series of Chern--Simons matter theories with monopole superpotentials consistent with an $\mathcal{N}=4$ supersymmetry enhancement in the infrared. As a by-product, we also find a novel Nahm sum formula for the vacuum character of $(3,8)$ $W_3$ minimal model, from which we find another Chern--Simons matter theory describing the R-twisted $S^1$-reduction of the $(A_2,A_4)$ theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15201 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 3d Chern--Simons matter theories from generalized Argyres--Douglas theories Nishinaka, Takahiro Yoshida, Yutaka High Energy Physics - Theory We study 3d $\mathcal{N}=2$ Chern--Simons matter theories describing the R-twisted $S^1$-reduction of Argyres--Douglas theories of $(A_{M-1},A_{N-1})$ type with $\text{gcd}(M,N)=1$, via a recently-proposed 4d/3d correspondence. In particular, for the $(A_2,A_{N-1})$ and $(A_3,A_{N-1})$ theories, we identify a series of Chern--Simons matter theories with monopole superpotentials consistent with an $\mathcal{N}=4$ supersymmetry enhancement in the infrared. As a by-product, we also find a novel Nahm sum formula for the vacuum character of $(3,8)$ $W_3$ minimal model, from which we find another Chern--Simons matter theory describing the R-twisted $S^1$-reduction of the $(A_2,A_4)$ theory. |
| title | 3d Chern--Simons matter theories from generalized Argyres--Douglas theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.15201 |