22 citations · 35 across the 3 of their papers we have counts for
6 papers · 1 filter
Hyperbolic Supersymmetric Quantum Hall Effect
Kazuki Hasebe
Developing a non-compact version of the SUSY Hopf map, we formulate the quantum Hall effect on a super-hyperboloid. Based on group theoretical methods, we first analyze…
Geometrical Construction of Supertwistor Theory
Kazuki Hasebe
Supertwistor theory is geometrically constructed based on the SUSY Hopf map. We derive a new incidence relation for the geometrical supertwistor theory. The present supertwistor ex…
Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid
Kazuki Hasebe
We develop a supersymmetric extension of Chern-Simons theory and Chern-Simons-Landau-Ginzburg theory for supersymmetric quantum Hall liquid. Supersymmetric counterparts of topologi…
Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
Kazuki Hasebe
Supersymmetric quantum Hall liquids are constructed on a supersphere in a supermonopole background. We derive a supersymmetric generalization of the Laughlin wavefunction, which is…
Fuzzy Supersphere and Supermonopole
Kazuki Hasebe, Yusuke Kimura
It is well-known that coordinates of a charged particle in a monopole background become noncommutative. In this paper, we study the motion of a charged particle moving on a supersp…
Dimensional Hierarchy in Quantum Hall Effects on Fuzzy Spheres
Kazuki Hasebe, Yusuke Kimura
We construct higher dimensional quantum Hall systems based on fuzzy spheres. It is shown that fuzzy spheres are realized as spheres in colored monopole backgrounds. The space nonco…