Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894248 | Journal of Geometry and Physics | 2009 | 10 Pages |
Abstract
A method for constructing explicit Calabi–Yau metrics in six dimensions with an isometry group with orbits of codimension one is presented. The equations to solve are nonlinear, but become linear when certain geometrical objects defining the metric vary over a complex submanifold. It is shown that this method encode known examples such as the CY metrics of [G. Gibbons, H. Lu, C. Pope, K. Stelle, Nuclear Phys. B 623 (2002) 3] or the asymptotic form of the BKTY metrics of [S. Bando, R. Kobayashi, Math. Ann. 287 (1990) 175; Proc. 21st Int. Taniguchi Symp, Lecture Notes in Pure Math. 1339 (1988) 20] and [G. Gibbons, P. Rychenkova, J. Geom. Phys. 32 (2000) 311], but we construct new ones.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Osvaldo P. Santillan,