135 citations · 998 across the 57 of their papers we have counts for
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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…
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 c…
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 qua…
Gauge theory on -Minkowski space-time
Valentine Maris, Jean-Christophe Wallet
We construct a gauge theory model on the 4-dimensional -Minkowski space-time, a particular deformation of the Minkowski space-time recently considered. The corresponding star pr…
Field theories on -deformed Minkowski space-time
Kilian Hersent, Jean-Christophe Wallet
We study one-loop perturbative properties of scalar field theories on the -Minkowski space. The corresponding star-product, together with the involution are characterized from a…
Gauge theories on quantum spaces
Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet
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 their con…