Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892642 | Journal of Geometry and Physics | 2015 | 46 Pages |
Abstract
In this technical paper, we present a new formulation of higher parallel transport in strict higher gauge theory required for the rigorous construction of Wilson lines and surfaces. Our approach is based on an original notion of Lie crossed module cocycle and cocycle 1- and 2-gauge transformation with a non standard double category theoretic interpretation. We show its equivalence to earlier formulations.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Emanuele Soncini, Roberto Zucchini,