Kampmeijer, L. and Bais, F.A. and Schroers, B.J. and Slingerland, Joost (2010) Towards a non-abelian electric-magnetic symmetry: the skeleton group. Working Paper. arXiv.

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Abstract

We propose an electric-magnetic symmetry group in non-abelian gauge theory, which we call the skeleton group. We work in the context of non-abelian unbroken gauge symmetry, and provide evidence for our proposal by relating the representation theory of the skeleton group to the labelling and fusion rules of charge sectors. We show that the labels of electric, magnetic and dyonic sectors in non-abelian Yang-Mills theory can be interpreted in terms of irreducible representations of the skeleton group. Decomposing tensor products of these representations thus gives a set of fusion rules which contain information about the full fusion rules of these charge sectors. We demonstrate consistency of the skeleton's fusion rules with the known fusion rules of the purely electric and purely magnetic magnetic sectors, and extract new predictions for the fusion rules of dyonic sectors in particular cases. We also implement S-duality and show that the fusion rules obtained from the skeleton group commute with S-duality.

Item Type:	Monograph (Working Paper)
Keywords:	non-abelian electric-magnetic symmetry; non-abelian Yang-Mills theory;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	10552
Identification Number:	arxiv.org/abs/0812.1230
Depositing User:	Dr. Joost Slingerland
Date Deposited:	21 Feb 2019 14:35
Publisher:	arXiv
URI:	https://arxiv.org
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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