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A spin(1,4) gauge theory model with Kaluza-Klein symmetry

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
<mark>Journal publication date</mark>20/12/1982
<mark>Journal</mark>Nuclear Physics B
Issue number1
Volume209
Number of pages17
Pages (from-to)217-233
Publication StatusPublished
<mark>Original language</mark>English

Abstract

A unified description of gravitation and electromagnetism interacting with Dirac spinors is reconsidered in terms of a non-riemannian 5-dimensional geometry with a one-parameter isometry group. The geometry is generated from a 5-form action principle that is invariant under SO(1,4) induced gauge transformation in the bundle of orthonormal 5-frames. The action includes a generalized Brans-Dicke field and the symmetric choice of frames includes a Jordan-Thiry field. These fields enable the effects of local chirality rotations to induce new interactions in 4 dimensions. A complete solution for the 5-dimensional torsion and SO(1,4) connection is used to construct the reduced action. This is compared with the 5-dimensional variational field equations.