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

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.

arXiv comment31 pages Latex

References in corpus (2)

• A Four Dimensional Generalization of the Quantum Hall Effect
• Collective excitations at the boundary of a 4D quantum Hall droplet

Cited by in corpus (10)

• Chiral actions from phase space (quantum Hall) droplets
• Quantum Hall Liquid on a Noncommutative Superplane
• Hyperbolic Supersymmetric Quantum Hall Effect
• Instantons, Twistors, and Emergent Gravity
• Spin-Hall effect with quantum group symmetry
• A primordial theory
• Non-Commutative Time, the Quantum Hall Effect and Twistor Theory
• SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
• Esquisse d'une synthese
• The Xi-transform for conformally flat space-time