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The role of shape operator in gauge theories

Department of Physics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic

E-mail Address: zatlovac@gmail.com

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Šimon Vedl

https://orcid.org/0009-0006-6575-9941

Department of Physics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic

School of Mathematical and Physical Sciences, Macquarie University, Sydney, New South Wales 2109, Australia

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https://doi.org/10.1142/S0219887824502712Cited by:0 (Source: Crossref)

Abstract

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.

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