New Spin(7) Holonomy Metrics Admiting G 2 Holonomy Reductions and M-theory/iia Dualities
نویسنده
چکیده
We construct several Spin(7) holonomy metrics which admits a G2 holonomy reduction along one isometry. The resulting G2 holonomy metrics admit a further reduction to a 6-dimensional Kahler metric, therefore realizing the pattern Spin(7) → G2 → (Kahler) proposed in [26] and which describe an M-theory/IIA superstring duality. An infinite class of such metrics are found, which are locally R3-fibrations over the Eguchi-Hanson gravitational instanton and which, to our knowledge, were not considered in the literature before. Some of the supersymmetric cycles inside these metrics are characterized. At the end the constructed G2 holonomy examples are lifted to a non geometrical IIA supergravity solution.
منابع مشابه
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تاریخ انتشار 2009