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arXiv · 0811.2244

Supergravity Solutions Without Tri-holomorphic U(1) Isometries

A. M. Ghezelbash
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Abstract

We investigate the construction of five-dimensional supergravity solutions that don't have any tri-holomorphic U(1) isometries. We construct a class of solutions that in various limits of parameters reduces to many of previously constructed five-dimensional supergravity solutions based on both hyper-Kahler base spaces that can be put into a Gibbons-Hawking form and hyper-Kahler base spaces that can't be put into a Gibbons-Hawking form. We find a new solution which is over triaxial Bianchi type IX Einstein-hyperkahler base space with no tri-holomorphic U(1) symmetry. One special case of this solution corresponds to five-dimensional solution based on Eguchi-Hanson type II geometry.

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A. M. Ghezelbash. 2008-11-14. Supergravity Solutions Without Tri-holomorphic U(1) Isometries. https://doi.org/10.1103/physrevd.78.126002

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