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arXiv · 1306.6651

The Structure of Non-Abelian Kinks

Timothy J. Hollowood·J. Luis Miramontes·David M. Schmidtt
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Abstract

We consider a class of integrable quantum field theories in 1+1 dimensions whose classical equations have kink solutions with internal collective coordinates that transform under a non-abelian symmetry group. These generalised sine-Gordon theories have been shown to be related to the world sheet theory of the string in the AdS/CFT correspondence. We provide a careful analysis of the boundary conditions at spatial infinity complicated by the fact that they are defined by actions with a WZ term. We go on to describe the local and non-local charges carried by the kinks and end by showing that their structure is perfectly consistent with the exact factorizable S-matrices that have been proposed to describe these theories.

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Timothy J. Hollowood, J. Luis Miramontes, David M. Schmidtt. 2013-09-10. The Structure of Non-Abelian Kinks. https://doi.org/10.1007/jhep10(2013)058

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