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Coset space dimensional reduction and classification of semi‐realistic particle physics models
Author(s) -
Douzas G.,
Grammatikopoulos T.,
Madore J.,
Zoupanos G.
Publication year - 2008
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200710515
Subject(s) - minkowski space , coset , physics , dimensional reduction , theoretical physics , space (punctuation) , string (physics) , gauge group , string theory , gauge theory , symmetry group , mathematical physics , symmetry breaking , spacetime , group (periodic table) , quantum mechanics , mathematics , combinatorics , geometry , linguistics , philosophy
Starting from a Yang‐Mills‐Dirac theory defined in ten dimensions we classify the semi‐realistic particle physics models resulting from their Forgacs‐Manton dimensional reduction. The higher‐dimensional gauge group is chosen to be E 8 . This choice as well as the dimensionality of the space‐time is suggested by the heterotic string theory. Furthermore, we assume that the space‐time on which the theory is defined can be written in the compactified form M 4 × B, with M 4 the ordinary Minkowski spacetime and B = S/R a 6 ‐ dim homogeneous coset space. We constrain our investigation in those cases where the dimensional reduction leads in four dimensions to phenomenologically interesting and anomaly‐free GUTs such as E 6 , SO(10) and SU(5). However the four‐dimensional surviving scalars transform in the fundamental of the resulting gauge group are not suitable for the superstrong symmetry breaking of the Standard Model. The main objective of our work is the investigation to which extent the latter can be achieved by employing the Wilson flux breaking mechanism.