18 citations · 114 across the 22 of their papers we have counts for
6 papers · 1 filter
Mechanism for particle fractionalization and universal edge physics in quantum Hall fluids
Arkadiusz Bochniak, Zohar Nussinov, Alexander Seidel +1
Advancing a microscopic framework that rigorously unveils the underlying topological hallmarks of fractional quantum Hall (FQH) fluids is a prerequisite for making progress in the…
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…
Bosonization of Majorana modes and edge states
Arkadiusz Bochniak, Błażej Ruba, Jacek Wosiek
We present a bosonization procedure which replaces fermions with generalized spin variables subject to local constraints. It requires that the number of Majorana modes per lattice…
Quantum correlations on quantum spaces
Arkadiusz Bochniak, Paweł Kasprzak, Piotr M. Sołtan
For given quantum (non-commutative) spaces and we study the quantum space of maps from to .…
Spectral action and the electroweak -terms for the Standard Model without fermion doubling
Arkadiusz Bochniak, Paweł Zalecki, Andrzej Sitarz
We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. The spectral triple describing it, which is chiral and allows…
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…