Asymptotic symmetry algebra of N = 8 supergravity

The asymptotic symmetry algebra of 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 N = 8 supergravity theor...

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Published in:Physical review. D 2024-02, Vol.109 (4), Article 046010
Main Authors: Banerjee, Nabamita, Rahnuma, Tabasum, Singh, Ranveer Kumar
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description The asymptotic symmetry algebra of 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 N = 8 supergravity theory in asymptotically flat spacetime and construct the extended asymptotic symmetry algebra, which we call N = 8 s b m s 4 . We use the celestial CFT technique to find the appropriate currents for extensions of N = 8 super-Poincaré and SU ( 8 ) R R-symmetry current algebra on the celestial sphere C S 2 . We generalize the definition of shadow transformations and show that there is infinite dimensional extension of the global SU ( 8 ) R algebra in the theory.
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title Asymptotic symmetry algebra of N = 8 supergravity
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