The role of shape operator in gauge theories

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Hauptverfasser: Zatloukal, Vaclav, Vedl, Simon
Format: Preprint
Veröffentlicht: 2022
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author Zatloukal, Vaclav
Vedl, Simon
author_facet Zatloukal, Vaclav
Vedl, Simon
contents We introduce the concept of shape operator and rotating blade (also known in the theory of embedded Riemannian manifolds as the second fundamental form and the Gauss map) in the realm of Yang-Mills theories. Hence we arrive at new gauge-invariant variables, which can serve as an alternative to the usual gauge potentials.
format Preprint
id arxiv_https___arxiv_org_abs_2210_08222
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The role of shape operator in gauge theories
Zatloukal, Vaclav
Vedl, Simon
Mathematical Physics
53Z05
We introduce the concept of shape operator and rotating blade (also known in the theory of embedded Riemannian manifolds as the second fundamental form and the Gauss map) in the realm of Yang-Mills theories. Hence we arrive at new gauge-invariant variables, which can serve as an alternative to the usual gauge potentials.
title The role of shape operator in gauge theories
topic Mathematical Physics
53Z05
url https://arxiv.org/abs/2210.08222