${\mathcal N}=3$ nonlinear multiplet and supergravity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916684773720064 |
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| author | Kuzenko, Sergei M. Raptakis, Emmanouil S. N. |
| author_facet | Kuzenko, Sergei M. Raptakis, Emmanouil S. N. |
| contents | We propose an ${\mathcal N}=3$ nonlinear multiplet coupled to conformal supergravity and use it to formulate the equations of motion for ${\mathcal N} = 3$ Poincaré supergravity. These equations, which are naturally described in a new curved supergeometry with structure group $\mathsf{SL}(2,\mathbb{C})$, imply that the ${\mathcal N} = 3$ super-Bach tensor vanishes, and thus every solution of Poincaré supergravity is a solution of conformal supergravity. The aforementioned superspace formulation, which we refer to as $\mathcal N=3$ Einstein superspace, is described in terms of two dimension-$1/2$ superfields: (i) the super-Weyl spinor $W_α$; and (ii) a spinor isospinor $χ_α^i$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11339 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | ${\mathcal N}=3$ nonlinear multiplet and supergravity Kuzenko, Sergei M. Raptakis, Emmanouil S. N. High Energy Physics - Theory We propose an ${\mathcal N}=3$ nonlinear multiplet coupled to conformal supergravity and use it to formulate the equations of motion for ${\mathcal N} = 3$ Poincaré supergravity. These equations, which are naturally described in a new curved supergeometry with structure group $\mathsf{SL}(2,\mathbb{C})$, imply that the ${\mathcal N} = 3$ super-Bach tensor vanishes, and thus every solution of Poincaré supergravity is a solution of conformal supergravity. The aforementioned superspace formulation, which we refer to as $\mathcal N=3$ Einstein superspace, is described in terms of two dimension-$1/2$ superfields: (i) the super-Weyl spinor $W_α$; and (ii) a spinor isospinor $χ_α^i$. |
| title | ${\mathcal N}=3$ nonlinear multiplet and supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.11339 |