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Duality and anyonic excitations

1998/02/26 by Wellington da Cruz, da Cruz, Wellington
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.48550/arxiv.cond-mat/9802290

latex, 4 pages, typos corrected, an observation on conformal invariance added

arxiv created 1998/03/09 · arxiv updated 2009/11/30

Abstract

We consider anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, h and introduce the concept of duality between such classes, defined by 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,ν), suggests conformal invariance.

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