Quantum Hall effect in higher dimensions

DOI10.1016/S0550-3213(02)00634-XzbMATH Open0998.81125arXivhep-th/0203264OpenAlexW2011907138MaRDI QIDQ699559

Author name not available (Why is that?)

Publication date: 24 September 2002

Published in: (Search for Journal in Brave)

Abstract: Following recent work on the quantum Hall effect on

S^{4}

, we solve the Landau problem on the complex projective spaces

and discuss quantum Hall states for such spaces. Unlike the case of

S^{4}

, a finite spatial density can be obtained with a finite number of internal states for each particle. We treat the case of

in some detail considering both Abelian and nonabelian background fields. The wavefunctions are obtained and incompressibility of the Hall states is shown. The case of

is related to the case of

S^{4}

.

Full work available at URL: https://arxiv.org/abs/hep-th/0203264

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