31 citations · 136 across the 16 of their papers we have counts for
16 papers
Generalized Abelian Turaev-Viro and BF Theories
Emil Høssjer, Philippe Mathieu, Frank Thuillier
We explain how it is possible to study BF theory over a connected closed oriented smooth -manifold in the formalism of path integral thanks to Delig…
An extension of the BF theory, Turaev-Viro invariant and Drinfeld center construction. Part I: Quantum fields, quantum currents and Pontryagin duality
Emil Høssjer, Philippe Mathieu, Frank Thuillier
In this first of a series of articles dedicated to natural extensions of the U(1) BF theory, abelian Turaev-Viro (TV) construction and corresponding Drinfeld center construction fo…
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…
Algebraic structures in -Poincaré invariant gauge theories
Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet
-Poincaré invariant gauge theories on -Minkowski space-time, which are noncommutative analogs of the usual gauge theory, exist only in five dimensions. These are built…
Quantum instability of gauge theories on -Minkowski space
Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet
We consider a gauge theory on the 5-d -Minkowski which can be viewed as the noncommutative analog of a gauge theory. We show that the Hermiticity condition obeyed by the…
Twisted BRST symmetry in gauge theories on -Minkowski
Philippe Mathieu, Jean-Christophe Wallet
Algebraic properties of the BRST symmetry associated to the twisted gauge symmetry occurring in the -Poincaré invariant gauge theories on the -Minkowski space are investigate…