On the infinitesimal Gauge Symmetries of closed forms
classification
🧮 math.DG
math-phmath.MP
keywords
fibrationsabstractanaloguesclassicalclosedclosenessconnectionscorresponding
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Motivated by the relationship between symplectic fibrations and classical Yang-Mills theories, we study the closeness of a $n$-form (n=2,3) defined on the total space of a fibration as a simple model for an abstract field theory. We introduce 2-plectic fibrations and interpret geometrically the corresponding equations for coupling in terms of higher analogues of connections.
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