Extrema of the twisted Eguchi-Kawai action and the finite Heisenberg group

We show that representations of the finite Heisenberg group are related to fluxons, which are special configurations of the field in the twisted Eguchi-Kawai model. Fluxons correspond to extrema of the action and in particular to the ground state of this model. We construct and classify these config...

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Bibliographic Details
Published in:Nuclear physics. B 1986-06, Vol.269 (2), p.285-294
Main Authors: Lebedev, D.R., Polikarpov, M.I.
Format: Article
Language:English
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Summary:We show that representations of the finite Heisenberg group are related to fluxons, which are special configurations of the field in the twisted Eguchi-Kawai model. Fluxons correspond to extrema of the action and in particular to the ground state of this model. We construct and classify these configurations in an even-dimensional space using standard methods of group theory. We also derive the necessary and sufficient conditions for the existence and uniqueness of such configurations.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(86)90224-5