3 citations · 3 across the 3 of their papers we have counts for
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Dynamical generalization of Yetter's model based on a crossed module of discrete groups
Arkadiusz Bochniak, Leszek Hadasz, Błażej Ruba
We construct a dynamical lattice model based on a crossed module of possibly non-abelian finite groups. Its degrees of freedom are defined on links and plaquettes, while gauge tran…
Riemannian Geometry of a Discretized Circle and Torus
Arkadiusz Bochniak, Andrzej Sitarz, Paweł Zalecki
We extend the results of Riemannian geometry over finite groups and provide a full classification of all linear connections for the minimal noncommutative differential calculus ove…
Bosonization based on Clifford algebras and its gauge theoretic interpretation
Arkadiusz Bochniak, Błażej Ruba
We study the properties of a bosonization procedure based on Clifford algebra valued degrees of freedom, valid for spaces of any dimension. We present its interpretation in terms o…
Pseudo-Riemannian Structures in Pati-Salam models
Arkadiusz Bochniak, Thomas E. Williams, Paweł Zalecki
We discuss the role of the pseudo-Riemannian structure of the finite spectral triple for the family of Pati-Salam models. We argue that its existence is a very restrictive conditio…