Solutions of the hexagon equation for abelian anyons

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

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

César Galindo, Nicolás Jaramillo¹

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

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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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Mathematics Subject Classification: 16T05, 18D10.

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Recibido: julio de 2016 Aceptado: noviembre de 2016