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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2512.11563 |
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| _version_ | 1866909958521487360 |
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| author | Armoni, Adi Stuardo, Ricardo Thomas, Mark |
| author_facet | Armoni, Adi Stuardo, Ricardo Thomas, Mark |
| contents | We formulate a `master' partition function in three-dimensional $\mathcal{N}=2$ superspace that realises, upon integrating out complementary superfields, both the electric Maxwell--Chern--Simons (MCS) theory and its magnetic $S$-dual: a non-gauge Deser--Jackiw self-dual massive vector times a decoupled level-$k$ Chern--Simons term. The two descriptions share the topological mass $M=\frac{g^{2}k}{2π}$ and obey an exact partition-function identity $\mathcal Z_{\rm mag}(g_m^2,k)=\mathcal Z_{\rm ele}(g_e^2,k)$ with $g_e g_m=2π$, mapping a weakly coupled MCS theory to a strongly coupled Deser--Jackiw CS theory. Special limits reproduce pure Chern--Simons/Gaiotto--Witten ($g^{2}=0$) and Maxwell/compact-scalar duality ($k=0$). We extend the construction to a non-Abelian U$(N)$ gauge group obtaining $\mathcal N=2$ Yang--Mills--Chern--Simons on the electric side and a massive non-gauge vector coupled to level-$k$ Chern--Simons on the magnetic side; the interaction terms between the massive vector and the Chern-Simons term vanish in the Abelian case. Decomposing the $\mathcal N=2$ vector into an $\mathcal N=1$ vector and a real-linear multiplet factorises the master action and yields the $\mathcal N=1$ counterparts. This uplifts the bosonic duality formulated recently to $\mathcal N=2$ and clarifies its non-Abelian and $\mathcal N=1$ reductions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_11563 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Master Superspace Action for 3D S-Duality Armoni, Adi Stuardo, Ricardo Thomas, Mark High Energy Physics - Theory We formulate a `master' partition function in three-dimensional $\mathcal{N}=2$ superspace that realises, upon integrating out complementary superfields, both the electric Maxwell--Chern--Simons (MCS) theory and its magnetic $S$-dual: a non-gauge Deser--Jackiw self-dual massive vector times a decoupled level-$k$ Chern--Simons term. The two descriptions share the topological mass $M=\frac{g^{2}k}{2π}$ and obey an exact partition-function identity $\mathcal Z_{\rm mag}(g_m^2,k)=\mathcal Z_{\rm ele}(g_e^2,k)$ with $g_e g_m=2π$, mapping a weakly coupled MCS theory to a strongly coupled Deser--Jackiw CS theory. Special limits reproduce pure Chern--Simons/Gaiotto--Witten ($g^{2}=0$) and Maxwell/compact-scalar duality ($k=0$). We extend the construction to a non-Abelian U$(N)$ gauge group obtaining $\mathcal N=2$ Yang--Mills--Chern--Simons on the electric side and a massive non-gauge vector coupled to level-$k$ Chern--Simons on the magnetic side; the interaction terms between the massive vector and the Chern-Simons term vanish in the Abelian case. Decomposing the $\mathcal N=2$ vector into an $\mathcal N=1$ vector and a real-linear multiplet factorises the master action and yields the $\mathcal N=1$ counterparts. This uplifts the bosonic duality formulated recently to $\mathcal N=2$ and clarifies its non-Abelian and $\mathcal N=1$ reductions. |
| title | A Master Superspace Action for 3D S-Duality |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.11563 |