2024/04/22 by Laura Andrianopoli, Riccardo D’Auria, Andrianopoli, Laura +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2404.13987
openalex publication_date 2024/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this contribution, we present the geometric approach to supergravity. In the first part, we discuss in some detail the peculiarities of the approach and apply the formalism to the case of pure supergravity in four space-time dimensions. In the second part, we extend the discussion to theories in higher dimensions, which include antisymmetric tensors of degree higher than one, focussing on the case of eleven dimensional space-time. Here, we report the formulation first introduced in 1981 by R. D'Auria and P. Frè, corresponding to a generalization of a Chevalley-Eilenberg Lie algebra, together with some more recent results, pointing out the relation of the formalism with the mathematical framework of L_∞ algebras.