The role of shape operator in gauge theories

Václav Zatloukal; Šimon Vedl

doi:10.1142/S0219887824502712

The role of shape operator in gauge theories

Václav Zatloukal^*, Šimon Vedl

^*Corresponding author for this work

School of Mathematical and Physical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	2450271
Pages (from-to)	2450271-1-2450271-13
Number of pages	13
Journal	International Journal of Geometric Methods in Modern Physics
Volume	22
Issue number	2
DOIs	https://doi.org/10.1142/S0219887824502712
Publication status	Published - 1 Feb 2025

Keywords

gauge theory
Grassmannian
Shape operator

Access to Document

10.1142/S0219887824502712

Cite this

@article{0e741f7f94484dcda967c6ffb35e19c3,

title = "The role of shape operator in gauge theories",

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.",

keywords = "gauge theory, Grassmannian, Shape operator",

author = "V{\'a}clav Zatloukal and {\v S}imon Vedl",

year = "2025",

month = feb,

day = "1",

doi = "10.1142/S0219887824502712",

language = "English",

volume = "22",

pages = "2450271--1--2450271--13",

journal = "International Journal of Geometric Methods in Modern Physics",

issn = "0219-8878",

publisher = "World Scientific Publishing",

number = "2",

}

TY - JOUR

T1 - The role of shape operator in gauge theories

AU - Zatloukal, Václav

AU - Vedl, Šimon

PY - 2025/2/1

Y1 - 2025/2/1

N2 - 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.

AB - 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.

KW - gauge theory

KW - Grassmannian

KW - Shape operator

UR - https://www.scopus.com/pages/publications/85201080795

U2 - 10.1142/S0219887824502712

DO - 10.1142/S0219887824502712

M3 - Article

AN - SCOPUS:85201080795

SN - 0219-8878

VL - 22

SP - 2450271-1-2450271-13

JO - International Journal of Geometric Methods in Modern Physics

JF - International Journal of Geometric Methods in Modern Physics

IS - 2

M1 - 2450271

ER -

The role of shape operator in gauge theories

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this