507 citations · 944 across the 20 of their papers we have counts for
4 papers · 2 filters
Twisting all the way: from Classical Mechanics to Quantum Fields
Paolo Aschieri, Fedele Lizzi, Patrizia Vitale
We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We d…
Fuzzy Extra Dimensions: Dimensional Reduction, Dynamical Generation and Renormalizability
P. Aschieri, H. Steinacker, J. Madore +2
We examine gauge theories defined in higher dimensions where theextra dimensions form a fuzzy (finite matrix) manifold. First we reinterpret these gauge theories as four-dimensiona…
Noncommutative Gravity and the *-Lie algebra of diffeomorphisms
Paolo Aschieri
We construct functions and tensors on noncommutative spacetime by systematically twisting the corresponding commutative structures. The study of the deformed diffeomorphisms (and P…
Lectures on Hopf Algebras, Quantum Groups and Twists
Paolo Aschieri
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry and in particular their Lie algebra (of left invariant vectorfields). The examp…