DOI: https://doi.org/10.15446/recolma.v50n2.62213

Solutions of the hexagon equation for abelian anyons

César Galindo, Nicolás Jaramillo¹

¹ Universidad de los Andes, Bogotá, Colombia. cn.galindo1116@uniandes.edu.co, n.jaramillo1163@uniandes.edu.co

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.

Mathematics Subject Classification: 16T05, 18D10.

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Recibido: julio de 2016 Aceptado: noviembre de 2016