3 citations · 3 across the 2 of their papers we have counts for
9 papers
Study of a lattice 2-group gauge model
Arkadiusz Bochniak, Leszek Hadasz, Piotr Korcyl +1
Gauge theories admit a generalisation in which the gauge group is replaced by a finer algebraic structure, known as a 2-group. The first model of this type is a Topological Quantum…
Dynamics of a lattice 2-group gauge theory model
Arkadiusz Bochniak, Leszek Hadasz, Piotr Korcyl +1
We study a simple lattice model with local symmetry, whose construction is based on a crossed module of finite groups. Its dynamical degrees of freedom are associated both to links…
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…
Constraints of kinematic bosonization in two and higher dimensions
Arkadiusz Bochniak, Blazej Ruba, Jacek Wosiek +1
Contrary to the common wisdom, local bosonizations of fermionic systems exist in higher dimensions. Interestingly, resulting bosonic variables must satisfy local constraints of a g…
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…
Super Quantum Airy Structures
Vincent Bouchard, Paweł Ciosmak, Leszek Hadasz +3
We introduce super quantum Airy structures, which provide a supersymmetric generalization of quantum Airy structures. We prove that to a given super quantum Airy structure one can…