Supergravity Solutions Without Tri-holomorphic U(1) Isometries

Details Supergravity Solutions Without Tri-holomorphic U(1) Isometries Supergravity Solutions Without Tri-holomorphic U(1) Isometries

2008-11-14

arxiv.org/abs/0811.2244v1

Phys.Rev.D78:126002,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures

Scientific paper

10.1103/PhysRevD.78.126002

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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