496 citations · 1.3k across the 37 of their papers we have counts for
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Quantum matrix geometry in the lowest Landau level and higher Landau levels
Kazuki Hasebe
One of the most celebrated works of Professor Madore is the introduction of fuzzy sphere. I briefly review how the fuzzy two-sphere and its higher dimensional cousins are realized…
Landau Model and 4D Quantum Hall Effect in The Monopole Background
Kazuki Hasebe
We investigate the Landau problem in the monopole gauge field background by applying the techniques of the non-linear realization of quantum field theory. The $SO(4…
A Unified Construction of Skyrme-type Non-linear sigma Models via The Higher Dimensional Landau Models
Kazuki Hasebe
A curious correspondence has been known between Landau models and non-linear sigma models: Reinterpreting the base-manifolds of Landau models as field-manifolds, the Landau models…
Landau Models and Nested Nambu Matrix Geometry
Kazuki Hasebe
The Landau model is the mathematical platform of the 4D quantum Hall effect and provide a rare opportunity for a physical realization of the fuzzy four-sphere. We present a…
Landau Models and Matrix Geometry
Kazuki Hasebe
We develop an in-depth analysis of the Landau models on in the monopole background and their associated matrix geometry. The Schwinger and Dirac gauges for th…
Higher (Odd) Dimensional Quantum Hall Effect and Extended Dimensional Hierarchy
Kazuki Hasebe
We demonstrate dimensional ladder of higher dimensional quantum Hall effects by exploiting quantum Hall effects on arbitrary odd dimensional spheres. Non-relativistic and relativis…