Eur. Phys. J. C (2009) 59: 917-935
https://doi.org/10.1140/epjc/s10052-008-0822-0

Regular Article - Theoretical Physics

Coset space dimensional reduction and Wilson flux breaking of ten-dimensional , E ₈ gauge theory

Physics Department, National Technical University, Zografou Campus, 15780, Athens, Greece

^* e-mail: tgrammat@mail.ntua.gr

Received: 20 October 2008
Revised: 26 November 2008
Published online: 12 December 2008

Abstract

We consider a supersymmetric E ₈ gauge theory, defined in ten dimensions and we determine all four-dimensional gauge theories resulting from the generalized dimensional reduction à la Forgacs–Manton over coset spaces, followed by a subsequent application of the Wilson flux spontaneous symmetry-breaking mechanism. Our investigation is constrained only by the requirements that (i) the dimensional reduction leads to the potentially phenomenologically interesting, anomaly-free, four-dimensional E ₆, SO₁₀ and SU₅ GUTs and (ii) the Wilson flux mechanism makes use only of the freely acting discrete symmetries of all possible six-dimensional coset spaces.