Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-30
Phys.Rev.D74:086008,2006
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, Latex, v2 typos corrected
Scientific paper
10.1103/PhysRevD.74.086008
We reduce M-theory on a G_2 orbifold with co-dimension four singularities, taking explicitly into account the additional gauge fields at the singularities. As a starting point, we use 11-dimensional supergravity coupled to seven-dimensional super-Yang-Mills theory, as derived in a previous paper. The resulting four-dimensional theory has N=1 supersymmetry with non-Abelian N=4 gauge theory sub-sectors. We present explicit formulae for the Kahler potential, gauge-kinetic function and superpotential. In the four-dimensional theory, blowing-up of the orbifold is described by a Higgs effect induced by continuation along D-flat directions. Using this interpretation, we show that our results are consistent with the corresponding ones obtained for smooth G_2 spaces. In addition, we consider the effects of switching on flux and Wilson lines on singular loci of the G_2 space, and we discuss the relation to N=4 SYM theory.
Anderson Lara B.
Barrett Adam B.
Lukas Andre
Yamaguchi Masahiro
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