We review the present status of gauge theories built on various quantum space–times
described by noncommutative space–times. The mathematical tools and notions underlying …

A bstract We discuss the quantum Poincaré symmetries of the ϱ-Minkowski spacetime, a
space characterised by an angular form of noncommutativity. We show that it is possible to …

A bstract We construct actions for four dimensional noncommutative Yang-Mills theory with
star-gauge symmetry, with non-constant noncommutativity, to all orders in the …

We define a new homotopy algebraic structure, that we call a braided L_ ∞ L∞-algebra,
and use it to systematically construct a new class of noncommutative field theories, that we …

A bstract We construct a family of four-dimensional noncommutative deformations of U (1)
gauge theory following a general scheme, recently proposed in JHEP 08 (2020) 041 for a …

A bstract The semiclassical limit of full non-commutative gauge theory is known as Poisson
gauge theory. In this work we revise the construction of Poisson gauge theory paying …

We give a pedagogical introduction to L∞-algebras and their uses in organising the
symmetries and dynamics of classical field theories, as well as of the conventional …

A bstract We study the noncommutative corrections to the entropy of the Reissner-Nordström
black hole using a κ-deformed scalar probe within the brick-wall framework. The …

A bstract We construct a noncommutative kappa-Minkowski deformation of U (1) gauge
theory, following a general approach, recently proposed in JHEP 08 (2020) 041. We obtain …

The homotopy algebraic formalism of braided noncommutative field theory is used to define
the explicit example of braided electrodynamics, that is, U (1) gauge theory minimally …