Gr.IV seminar: Valentine Maris - "Construction of noncommutative spacetimes and gauge theories"

Wednesday 4 Feb 2026, 16:00 → 17:00 Europe/Rome

GEO-6 (DIP.TO DI GEOLOGIA)

Noncommutative geometry provides a representation of spacetime in terms of associative algebras of operators. The ultimate goal is to arrive at a "quantum spacetime" that encodes quantum gravity effects at an effective level. Recently, the characterization of 11 new quantum Minkowski spacetimes through their star algebras has been accomplished, resulting in Lie-algebraic deformations of the standard Minkowski spacetime. The construction of gauge theories on those noncommutative spacetimes has been investigated. The starting point is the definition of a twisted differential calculus, which can be achieved by considering multiderivations. Expression for a connection, curvature, and gauge transform can be found, and asking for gauge invariance gives additional constraints on the theory.