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Counting paths in Bratteli diagrams for SU(2)(k)

Mansour, T; Severini, S; (2009) Counting paths in Bratteli diagrams for SU(2)(k). EPL-EUROPHYS LETT , 86 (3) , Article 33001. 10.1209/0295-5075/86/33001.

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Abstract

It is known that the Hilbert space dimensionality for quasiparticles in an SU(2)(k) Chern-Simons-Witten theory is given by a number of directed paths in certain Bratteli diagrams. We present an explicit formula for these numbers for arbitrary k. This is on the basis of a relation with Dyck paths and Chebyshev polynomials. Copyright (c) EPLA, 2009

Type:Article
Title:Counting paths in Bratteli diagrams for SU(2)(k)
DOI:10.1209/0295-5075/86/33001
Keywords:QUANTUM HALL STATES
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Computer Science

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