Counting paths in Bratteli diagrams for SU(2)k

T. Mansour, S. Severini

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number33001
JournalLettere Al Nuovo Cimento
Issue number3
StatePublished - 2009

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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