Duality and Fibrations on G2 Manifolds

Authors : Sergei GUKOV

Pages : 61-98

View : 10 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We argue that G2 manifolds for M-theory admitting string theory Calabi-Yau duals are fibered by coassociative submanifolds. Dual theories are constructed using the moduli space of M-five-brane fibers as target space. Mirror symmetry and various string and M-theory dualities involving G2 manifolds may be incorporated into this framework. To give some examples, we construct two non-compact manifolds with G2 structures: one with a K3 fibration, and one with a torus fibration and a metric of G2 holonomy. Kaluza-Klein reduction of the latter solution gives abelian BPS monopoles in 3 + 1 dimensions.
Keywords : Turk J Math, 27, 2003, , 61 98 Turk J Math, vol 27, iss 1