135 citations · 998 across the 57 of their papers we have counts for
14 papers · 1 filter
-Minkowski as tangent space I: quantum partition of unity
Kilian Hersent, Jean-Christophe Wallet
We define a quantum (noncommutative) analogue of locally trivial tangent bundle based on two main elements: the definition of local algebras through quotients of ideals of the glob…
Quantum causality in -Minkowski and related constraints
Nicolas Franco, Kilian Hersent, Valentine Maris +1
We study quantum causal structures in -Minkowski space-time described by a Lorentzian Spectral Triple whose Dirac operator is built from a natural set of twisted derivatio…
Quantum causality constraints on kappa-Minkowski space-time
Nicolas Franco, Jean-Christophe Wallet
The -Minkoswki space-time provides a quantum noncommutative-deformation of the usual Minkowski space-time. However, a notion of causality is difficult to be defined in such a sp…
Quantum spaces, central extensions of Lie groups and related quantum field theories
Timothé Poulain, Jean-Christophe Wallet
Quantum spaces with noncommutativity can be modelled by using a family of -equivariant differential -representations. The quantization maps are determined…
Exact Partition Functions for Gauge Theories on
Jean-Christophe Wallet
The noncommutative space , a deformation of , supports a -parameter family of gauge theory models with gauge-invariant harmonic term, stable vacuum…
Metrics and causality on Moyal planes
Nicolas Franco, Jean-Christophe Wallet
Metrics structures stemming from the Connes distance promote Moyal planes to the status of quantum metric spaces. We discuss this aspect in the light of recent developments, emphas…