We show that the⋆-product for U (su 2), group Fourier transform and effective action arising
in Freidel and Livine (2005 Preprint hep-th/0502106) in an effective theory for the integer …

We analyse the symmetries underlying nonassociative deformations of geometry in non-
geometric R-flux compactifications which arise via T-duality from closed strings with constant …

Using quantum Riemannian geometry, we solve for a Ricci= 0 static spherically-symmetric
solution in 4D, with the S 2 at each t, ra noncommutative fuzzy sphere, finding a dimension …

We review the application of twist deformation formalism and the construction of
noncommutative gauge theory on $\kappa $-Minkowski space-time. We compare two …

We study noncommutative bundles and Riemannian geometry at the semiclassical level of
first order in a deformation parameter λ, using a functorial approach. This leads us to field …

We show how to do gauge theory on the octonions and other nonassociative algebras such
as “quasi-R 4” models proposed in string theory. We use the theory of quasialgebras …

We demonstrate that the coproduct of D= 2 and D= 4 quantum kappa-Poincare algebra in
classical algebra basis can not be obtained by the cochain twist depending only on …

We illustrate the thesis that if time did not exist, we would have to create it if space is
noncommutative, and extend functions by something like Schrödinger's equation. We …

Many quantum groups and quantum spaces of interest can be obtained by cochain (but not
cocycle) twist from their corresponding classical object. This failure of the cocycle condition …

We show that the standard Heisenberg algebra of quantum mechanics admits a
noncommutative differential calculus $\Omega^ 1$ depending on the Hamiltonian $ p …