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• W2169373442 abstract "Introducing a noncompact version of the Hopf map, we demonstrate remarkable close relations between quantum Hall effect and twistor theory. We first construct quantum Hall effect on a hyperboloid based on the noncompact 2nd Hopf map of split-quaternions. We analyze a hyperbolic one-particle mechanics, and explore many-body problem, where a many-body ground state wave function and membrane-like excitations are derived explicitly. In the lowest Landau level, the symmetry is enhanced from $SO(3,2)$ to the $SU(2,2)$ conformal symmetry. We point out that the quantum Hall effect naturally realizes the philosophy of twistor theory. In particular, emergence mechanism of fuzzy space-time is discussed somehow in detail." @default.
• W2169373442 created "2016-06-24" @default.
• W2169373442 creator A5002784095 @default.
• W2169373442 date "2010-02-16" @default.
• W2169373442 modified "2023-09-27" @default.
• W2169373442 title "Split-quaternionic Hopf map, quantum Hall effect, and twistor theory" @default.
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• W2169373442 doi "https://doi.org/10.1103/physrevd.81.041702" @default.
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