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math-ph2022
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…
hep-th2022★ 31 cited
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…