4 papers
Noncommutative Gauge Theories: Yang-Mills extensions and beyond - An overview
Jean-Christophe Wallet
The status of several representative gauge theories on various quantum space-times, mainly focusing on Yang-Mills type extensions together with a few matrix model formulations is o…
Star-products for Lie-algebraic noncommutative Minkowski space-times
Valentine Maris, Filip Požar, Jean-Christophe Wallet
Poisson structures of the Poincaré group can be linked to deformations of the Minkowski space-time, classified some time ago by Zakrewski. Based on this classification, various qu…
Gauge Theories on quantum Minkowski spaces: versus
Jean-Christophe Wallet
The -Minkowski space-time, a Lie-algebraic deformation of the usual Minkowski space-time is considered. A star-product realization of this quantum space-time together with the…
-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…