126 citations · 1.3k across the 65 of their papers we have counts for
67 papers
The structure of Free Differential Algebras and Supergravity
L. Castellani, R. D'Auria
We discuss free differential algebras (FDA's), a generalization of the Cartan-Maurer equations for the group manifold vielbein, appropriate for theories containing -forms ($p >1…
Space and time correlations in quantum histories
Leonardo Castellani, Anna Gabetti
The formalism of generalized quantum histories allows a symmetrical treatment of space and time correlations, by taking different traces of the same history density matrix. We reca…
Hodge Duality and Supergravity
Leonardo Castellani, Pietro Antonio Grassi
The Hodge dual operator, recently introduced for supermanifolds, is used to reformulate super Yang-Mills and supergravity in . We first recall the definition of the Hodge dual…
Group manifold approach to supergravity
Leonardo Castellani
We present a short review of the group-geometric approach to supergravity theories, from the point of view of recent developments. The central idea is the unification of usual diff…
Noncommutative gauge and gravity theories and geometric Seiberg-Witten map
Paolo Aschieri, Leonardo Castellani
We give a pedagogical account of noncommutative gauge and gravity theories, where the exterior product between forms is deformed into a -product via an abelian twist (e.g. t…
Noncommutative hamiltonian formalism for noncommutative gravity
Leonardo Castellani
We present a covariant canonical formalism for noncommutative gravity, and in general for noncommutative geometric theories defined via a twisted -wedge product between form…