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• W2125367631 abstract "We reduce M theory on a ${G}_{2}$ orbifold with codimension 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 $mathcal{N}=1$ supersymmetry with non-Abelian $mathcal{N}=4$ gauge theory subsectors. We present explicit formulas 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 $mathcal{N}=4$ super-Yang-Mills theory." @default.
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• W2125367631 date "2006-10-24" @default.
• W2125367631 modified "2023-09-24" @default.
• W2125367631 title "Four-dimensional effective M theory on a singular<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>G</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>manifold" @default.
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• W2125367631 doi "https://doi.org/10.1103/physrevd.74.086008" @default.
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