Duality and Non-linear Response for Quantum Hall Systems

B.P. Dolan; C. P. Burgess

Duality and Non-linear Response for Quantum Hall Systems

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arxiv cond-mat/0105621 v1 pith:M32UGF2I submitted 2001-05-31 cond-mat.mes-hall hep-phhep-th

Duality and Non-linear Response for Quantum Hall Systems

B.P. Dolan , C. P. Burgess This is my paper

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We derive the implications of particle-vortex duality for the electromagnetic response of Quantum Hall systems beyond the linear-response regime. This provides a first theoretical explanation of the remarkable duality which has been observed in the nonlinear regime for the electromagnetic response of Quantum Hall systems.

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies
hep-th 2026-07 accept novelty 7.0

An order-five Sp(4,Z) duality acts projectively on 3d U(1)^2 theories, and its hierarchy operations generate candidate bilayer quantum Hall states at 3/8+3/8 and 5/12+5/12.