A swivel configuration appertaining to a one-dimensional superstring may be supplementally norm to the norm to holomorphic direction, or a swivel configuration appertaining to a one-dimensional superstring may be in the holomorphic direction.
A swivel configuration appertaining to a two-dimensional superstring may be supplementally norm to the norm to holomorphic direction in the general directoralization of the associated superstring's topology, or a swivel configuration appertaining to a two-dimensional superstring may be in the holomorphic direction.
Swivel configurations of a vibrating strand ( one-dimensional superstring, or of a vibrating hoop (two-dimensional superstring) do not necessarily intrinsically take away metric-gauge from a superstring in and of themself. Metric-Gauge is taken away as a decrement in a superstring's extra supply of potential permittivity by the Fourier successive utilization of the given superstring over a sequential series of iterations that define a group metric.
The difference between a swivel configuration as I have described, and a mini-loop that is a form of metric-gauge is that a mini-loop is tightly knit in a manner that makes the whole given superstring completely hermitian unless the said superstring is perturbated by a swivel configuration that has one or more Chern Simmons cusps. Such Chern Simmons cusps bear a non-discrete limit covariance relative to the topology that exists Wardwise on either sides of the cusps described.
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