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arXiv · hep-th/0212233

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

Gottfried Curio
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Abstract

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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Gottfried Curio. 2003-01-28. Superpotential of the M-theory conifold and type IIA string theory. https://doi.org/10.1142/s0217751x04017720

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