Superpotential of the M-theory conifold and type IIA string theory

Details Superpotential of the M-theory conifold and type IIA string theory Superpotential of the M-theory conifold and type IIA string theory

2002-12-19

arxiv.org/abs/hep-th/0212233v3

Int.J.Mod.Phys.A19:521-556,2004

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, latex; reference added, discussion added (sect. 4), minor changes

Scientific paper

10.1142/S0217751X04017720

The membrane instanton superpotential for $M$-theory on the $G_2$ holonomy manifold given by the cone on ${\bf S^3}\x {\bf S^3}$ is given by the dilogarithm and has Heisenberg monodromy group in the quantum moduli space. We compare this to a Heisenberg group action on the type IIA hypermultiplet moduli space for the universal hypermultiplet, to metric corrections from membrane instantons related to a twisted dilogarithm for the deformed conifold and to a flat bundle related to a conifold period, the Heisenberg group and the dilogarithm appearing in five-dimensional Seiberg/Witten theory.

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