3 research outputs found
Reduction of N=1, E_8 SYM over SU(3)/U(1) x U(1) x Z_3 and its four-dimensional effective action
We propose an extension of the Standard Model inspired by the E_8 x E_8
Heterotic String. In order that a reasonable effective Lagrangian is presented
we neglect everything else other than the ten-dimensional N=1 supersymmetric
Yang-Mills sector associated with one of the gauge factors and certain
couplings necessary for anomaly cancellation. We consider a compactified
space-time M_4 x B_0/Z_3, where B_0 is the nearly Kaehler manifold SU(3)/U(1) x
U(1) and Z_3 is a freely acting discrete group on B_0. Then we reduce
dimensionally the E_8 on this manifold and we employ the Wilson flux mechanism
leading in four dimensions to an SU(3)^3 gauge theory with the spectrum of a
N=1 supersymmetric theory. We compute the effective four-dimensional Lagrangian
and demonstrate that an extension of the Standard Model is obtained with
interesting features including a conserved baryon number and fixed tree level
Yukawa couplings and scalar potential. The spectrum contains new states such as
right handed neutrinos and heavy vector-like quarks.Comment: 15 page
Coset Space Dimensional Reduction and Wilson Flux Breaking of Ten-Dimensional N=1, E(8) Gauge Theory
We consider a N=1 supersymmetric E(8) gauge theory, defined in ten dimensions
and we determine all four-dimensional gauge theories resulting from the
generalized dimensional reduction a 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), SO(10) and SU(5) GUTs and
(ii) the Wilson flux mechanism makes use only of the freely acting discrete
symmetries of all possible six-dimensional coset spaces.Comment: 45 pages, 2 figures, 10 tables, uses xy.sty, longtable.sty,
ltxtable.sty, (a shorter version will be published in Eur. Phys. J. C