Duality and anyonic excitations

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We consider anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, $h$ and introduce the concept of duality between such classes, defined by $\tilde{h}=3-h$. In this way, we confirm that the filling factors for which the Fractional Quantum Hall Effect (FQHE) were observed just appears into these classes and the duality in case is between quasihole and quaasiparticle excitations for these FQHE systems.Exchanges of dual pairs $(ν,\tildeν)$, suggests conformal invariance.
latex, 4 pages, typos corrected, an observation on conformal invariance added

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Mesoscale and Nanoscale Physics, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/28119

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9802290
 http://arxiv.org/abs/cond-mat/9802290

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arXiv