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Canonical gauges in higher gauge theory. (arXiv:1810.06278v1 [math-ph])
来源于:arXiv
We study the problem of finding good gauges for connections in higher gauge
theories. We find that, for $2$-connections in strict $2$-gauge theory and
$3$-connections in $3$-gauge theory, there are local "Coulomb gauges" that are
more canonical than in classical gauge theory. In particular, they are
essentially unique, and no smallness of curvature is needed in the critical
dimensions. We give natural definitions of $2$-Yang-Mills and $3$-Yang-Mills
theory and find that the choice of good gauges makes them essentially linear.
As an application, (anti-)selfdual $2$-connections over $B^6$ are always
$2$-Yang-Mills, and (anti-)selfdual $3$-connections over $B^8$ are always
$3$-Yang-Mills. 查看全文>>