Self-duality in quantum impurity problems

Details Self-duality in quantum impurity problems Self-duality in quantum impurity problems

1998-04-16

arxiv.org/abs/cond-mat/9804173v1

Phys.Rev.Lett. 81 (1998) 2518-2521

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevLett.81.2518

We establish the existence of an exact non-perturbative self-duality in a variety of quantum impurity problems, including the Luttinger liquid or quantum wire with impurity. The former is realized in the fractional quantum Hall effect, where the duality interchanges electrons with Laughlin quasiparticles. We discuss the mathematical structure underlying this property, which bears an intriguing resemblance with the work of Seiberg and Witten on supersymmetric non-abelian gauge theory.

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