A construction of G_2 holonomy spaces with torus symmetry
arXiv:hep-th/0208190 · doi:10.1016/S0550-3213(03)00235-9
Abstract
In the present work the Calderbank-Pedersen description of four dimensional manifolds with self-dual Weyl tensor is used to obtain examples of quaternionic-kahler metrics with two commuting isometries. The eigenfunctions of the hyperbolic laplacian are found by use of Backglund transformations acting over solutions of the Ward monopole equation. The Bryant-Salamon construction of holonomy metrics arising as bundles over quaternionic-kahler base spaces is applied to this examples to find internal spaces of the M-theory that leads to an N=1 supersymmetry in four dimensions. Type IIA solutions will be obtained too by reduction along one of the isometries. The torus symmetry of the base spaces is extended to the total ones.
Version with 23 pages, no figures, the one form corresponding to the 3 pole solution are expressed in another way
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Cited by in corpus (5)
- Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples
- The Supermembrane with Central Charges on a G2 Manifold
- New Spin(7) holonomy metrics admiting G2 holonomy reductions and M-theory/IIA dualities
- New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and gamma-deformations
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