Counting paths in Bratteli diagrams for SU(2)k

T. Mansour; S. Severini

doi:10.1209/0295-5075/86/33001

Counting paths in Bratteli diagrams for SU(2)_k

T. Mansour, S. Severini

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	33001
Journal	Lettere Al Nuovo Cimento
Volume	86
Issue number	3
DOIs	https://doi.org/10.1209/0295-5075/86/33001
State	Published - 2009

ASJC Scopus subject areas

General Physics and Astronomy

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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.",

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AB - 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.

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Counting paths in Bratteli diagrams for SU(2)_k

Abstract

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