Solutions of the hexagon equation for abelian anyons

vol.50 issue2

Local unitary representations of the braid group and their applications to quantum computing

Algebraic Methods for Quantum Codes on Lattices

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Revista Colombiana de Matemáticas

Print version ISSN 0034-7426

Abstract

GALINDO, César and JARAMILLO, Nicolás. Solutions of the hexagon equation for abelian anyons. Rev.colomb.mat. [online]. 2016, vol.50, n.2, pp.277-298. ISSN 0034-7426. https://doi.org/10.15446/recolma.v50n2.62213.

Abstract We address the problem of determining the obstruction to existence of solutions of the hexagon equation for abelian fusion rules and the classification of prime abelian anyons.

Keywords : Anyons; pointed fusion categories; modular categories; quadratic forms.

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