Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schrödinger model of FQHE: classical and quantum aspects

Abstract

The soliton structure of a gauge theory recently proposed to describe chiral excitations in the Fractional Quantum Hall Effect is investigated. A new type of non-linear derivative Schrödinger equation emerges as an effective description of the system that supports novel chiral solitons. We discuss the classical properties of solutions with vanishing and non-vanishing boundary conditions (dark solitons) and we explain their relation to integrable systems. The quantum analysis is also addressed in the framework of a semiclassical approximation improved by Renormalization Group arguments.

39 page, RevTeX, 6 figures

References in corpus (1)

• Solitons, monopoles and duality: from sine-Gordon to Seiberg-Witten

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