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Twistor theory and the four-dimensional Quantum Hall effect of Zhang and Hu

George Sparling
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Abstract

The construction by Zhang and Hu of a four-dimensional analogue of the Quantum Hall effect is generalized and recast as a purely geometrical theory, using the languages of Lie group theory and twistor theory. It emerges that the Zhang-Hu quantum liquid lies naturally in twistor space and is apparently more primitive than space-time itself, in accordance with twistor philosophy. The quantum liquid is then the glue that holds space-time together. It is argued that the theory is inherently chiral and time asymmetric, consonant with previous conjectures.

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George Sparling. 2002-11-28. Twistor theory and the four-dimensional Quantum Hall effect of Zhang and Hu. https://arxiv.org/abs/cond-mat/0211679

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