Year: 2025
Type: article
Abstract: A bstract We realize off-shell, local and gauge invariant $$ \mathcal{N} $$ N = 8 supergravity in D = 4, to cubic order in fields, as the double copy of $$ \mathcal{N} $$ 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 $$ \mathcal{K} $$ K of $$ \mathcal{N} $$ N = 4 SYM is compatible with an action of the global supersymmetry algebra. The double copy space is then a subspace of $$ \mathcal{K} $$ K ⨂ $$ \overset{\sim }{\mathcal{K}} $$ K ~ that inherits an L ∞ algebra on which the two copies of the $$ \mathcal{N} $$ N = 4 action combine into an action of the $$ \mathcal{N} $$ N = 8 supersymmetry algebra, with a corresponding enhancement of the R -symmetry group to SU(8).
Source: Journal of High Energy Physics
Authors: Roberto Bonezzi, Giuseppe Casale, Olaf Hohm
Institution: Humboldt-Universität zu Berlin
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W4410465275