Three-cocycles, Nonassociative Gauge Transformations and Dirac's Monopole
Alexander I Nesterov
TL;DR
This paper explores how 3-cocycles relate to nonassociative gauge transformations, enabling a consistent theory of magnetic monopoles with arbitrary charge through a nonassociative extension of U(1).
Contribution
It introduces a nonassociative extension of U(1) to model magnetic monopoles with arbitrary charge, linking 3-cocycles to gauge transformations.
Findings
Nonassociative U(1) extension allows arbitrary magnetic charge monopoles.
3-cocycles are related to nonassociative gauge transformations.
A consistent monopole theory is developed using nonassociativity.
Abstract
The relation between 3-cocycles arising in the Dirac monopole problem and nonassociative gauge transformations is studied. It is shown that nonassociative extension of the group U(1) allows to obtain a consistent theory of pointlike magnetic monopole with an arbitrary magnetic charge.
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