TY - JOUR

T1 - Four-dimensional effective M theory on a singular G2 manifold

AU - Anderson, Lara B.

AU - Barrett, Adam B.

AU - Lukas, André

AU - Yamaguchi, Masahiro

PY - 2006

Y1 - 2006

N2 - We reduce M theory on a G2 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 N=1 supersymmetry with non-Abelian N=4 gauge theory subsectors. We present explicit formulas for the Kähler 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 G2 spaces. In addition, we consider the effects of switching on flux and Wilson lines on singular loci of the G2 space, and we discuss the relation to N=4 super-Yang-Mills theory.

AB - We reduce M theory on a G2 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 N=1 supersymmetry with non-Abelian N=4 gauge theory subsectors. We present explicit formulas for the Kähler 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 G2 spaces. In addition, we consider the effects of switching on flux and Wilson lines on singular loci of the G2 space, and we discuss the relation to N=4 super-Yang-Mills theory.

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U2 - 10.1103/PhysRevD.74.086008

DO - 10.1103/PhysRevD.74.086008

M3 - Article

AN - SCOPUS:33750305200

VL - 74

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

M1 - 086008

ER -