Asymptotic symmetry algebra of $\mathcal{N}=8$ supergravity

Journal Article · 15 February 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.109.046010 · OSTI ID:2305766

Banerjee, Nabamita; Rahnuma, Tabasum ; Singh, Ranveer Kumar

The asymptotic symmetry algebra of $\mathcal{N}=1$ supergravity was recently constructed using the well-known two-dimensional celestial conformal field (CFT) theory technique [A. Fotopoulos , ]. 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 $\mathcal{N}=8{\mathfrak{s}\mathfrak{b}\mathfrak{m}\mathfrak{s}}_4$ . We use the celestial CFT technique to find the appropriate currents for extensions of $\mathcal{N}=8$ super-Poincaré and $\mathrm{SU}(8{)}_R$ R-symmetry current algebra on the celestial sphere ${\mathcal{C}\mathcal{S}}^2$ . We generalize the definition of shadow transformations and show that there is infinite dimensional extension of the global $\mathrm{SU}(8{)}_R$ algebra in the theory. Published by the American Physical Society 2024

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0010008
• OSTI ID: 2305766
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 4 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English