Towards the Theory of Non--Abelian Tensor Fields I

Details Towards the Theory of Non--Abelian Tensor Fields I Towards the Theory of Non--Abelian Tensor Fields I

2005-03-30

arxiv.org/abs/hep-th/0503234v3

Theor.Math.Phys. 145 (2005) 1646-1665; Teor.Mat.Fiz. 145 (2005) 321-343

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 18 figures

Scientific paper

10.1007/s11232-005-0188-5

We present a triangulation--independent area--ordering prescription which naturally generalizes the well known path ordering one. For such a prescription it is natural that the two--form ``connection'' should carry three ``color'' indices rather than two as it is in the case of the ordinary one--form gauge connection. To define the prescription in question we have to define how to {\it exponentiate} a matrix with three indices. The definition uses the fusion rule structure constants.

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