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arXiv · 2212.12133

Asymptotic Symmetry algebra of $\mathcal{N}=8$ Supergravity

Nabamita Banerjee·Tabasum Rahnuma·Ranveer Kumar Singh
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Abstract

The asymptotic symmetry algebra of $\mathcal{N}=1$ supergravity was recently constructed using the well-known $2$D celestial CFT (CCFT) technique in ArXiv: 2007.03785. In this paper, we extend the construction to the maximally supersymmetric four dimensional $\mathcal{N}=8$ supergravity theory in asymptotically flat spacetime and construct the extended asymptotic symmetry algebra, which we call $\mathcal{N}=8$ $\mathfrak{sbms}_4$. We use the celestial CFT technique to find the appropriate currents for extensions of $\mathcal{N}=8$ super-Poincar\'{e} and $\mathrm{SU}(8)_R$ R-symmetry current algebra on the celestial sphere $\mathcal{CS}^2$. We generalise the definition of shadow transformations and show that there is \textit{no} infinite dimensional extension of the global $\mathrm{SU}(8)_R$ algebra in the theory.

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Nabamita Banerjee, Tabasum Rahnuma, Ranveer Kumar Singh. 2022-12-23. Asymptotic Symmetry algebra of $\mathcal{N}=8$ Supergravity. https://arxiv.org/abs/2212.12133

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