507 citations · 2.1k across the 59 of their papers we have counts for
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Twisting all the way: from algebras to morphisms and connections
Paolo Aschieri
Given a Hopf algebra H and an algebra A that is an H-module algebra we consider the category of left H-modules and A-bimodules, where morphisms are just right A-linear maps (not ne…
Noncommutative connections on bimodules and Drinfeld twist deformation
Paolo Aschieri, Alexander Schenkel
Given a Hopf algebra H, we study modules and bimodules over an algebra A that carry an H-action, as well as their morphisms and connections. Bimodules naturally arise when consider…
Extended gravity from noncommutativity
Paolo Aschieri
We review the first order theory of gravity (vierbein formulation) on noncommutative spacetime studied in [1, 2]. The first order formalism allows to couple the theory to fermions.…
Noncommutative gravity at second order via Seiberg-Witten map
Paolo Aschieri, Leonardo Castellani, Marija Dimitrijevic
We develop a general strategy to express noncommutative actions in terms of commutative ones by using a recently developed geometric generalization of the Seiberg-Witten map (SW ma…
Extended gravity theories from dynamical noncommutativity
Paolo Aschieri, Leonardo Castellani
In this paper we couple noncommutative (NC) vielbein gravity to scalar fields. Noncommutativity is encoded in a star product between forms, given by an abelian twist (a twist with…