The Double Copy of Maximal Supersymmetry in $D=4$
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909608312832000 |
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| author | Bonezzi, Roberto Casale, Giuseppe Hohm, Olaf |
| author_facet | Bonezzi, Roberto Casale, Giuseppe Hohm, Olaf |
| contents | We realize off-shell, local and gauge invariant $N=8$ supergravity in $D=4$, to cubic order in fields, as the double copy of $N=4$ super Yang-Mills theory (SYM). Employing the homotopy algebra approach, we show that, thanks to a redundant formulation for the fermionic fields, the kinematic algebra $K$ of $N=4$ SYM is compatible with an action of the global supersymmetry algebra. The double copy space is then a subspace of $K\otimes{\widetilde K}$ that inherits an $L_{\infty}$ algebra on which the two copies of the $N=4$ action combine into an action of the $N=8$ supersymmetry algebra, with a corresponding enhancement of the $R$-symmetry group to $SU(8)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Double Copy of Maximal Supersymmetry in $D=4$ Bonezzi, Roberto Casale, Giuseppe Hohm, Olaf High Energy Physics - Theory We realize off-shell, local and gauge invariant $N=8$ supergravity in $D=4$, to cubic order in fields, as the double copy of $N=4$ super Yang-Mills theory (SYM). Employing the homotopy algebra approach, we show that, thanks to a redundant formulation for the fermionic fields, the kinematic algebra $K$ of $N=4$ SYM is compatible with an action of the global supersymmetry algebra. The double copy space is then a subspace of $K\otimes{\widetilde K}$ that inherits an $L_{\infty}$ algebra on which the two copies of the $N=4$ action combine into an action of the $N=8$ supersymmetry algebra, with a corresponding enhancement of the $R$-symmetry group to $SU(8)$. |
| title | The Double Copy of Maximal Supersymmetry in $D=4$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.02058 |