2025/07/27 by Castellani, L., D'Auria, R.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2507.20344
We discuss free differential algebras (FDA's), a generalization of the Cartan-Maurer equations for the group manifold vielbein, appropriate for theories containing p-forms (p >1). Their dual formulation is an extension of Lie algebras, called L_∞ algebras, and we illustrate this duality in a simple example. Finally we review the FDA structure and the dual L_∞ structure of d=11 supergravity.