Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-06-15
Class.Quant.Grav. 22 (2005) 4931-4960
Physics
High Energy Physics
High Energy Physics - Theory
38 pages, 10 figures; program code and animations of figures downloadable from http://schwinger.harvard.edu/~wiseman/K3/ ; v2
Scientific paper
10.1088/0264-9381/22/23/002
We develop numerical algorithms for solving the Einstein equation on Calabi-Yau manifolds at arbitrary values of their complex structure and Kahler parameters. We show that Kahler geometry can be exploited for significant gains in computational efficiency. As a proof of principle, we apply our methods to a one-parameter family of K3 surfaces constructed as blow-ups of the T^4/Z_2 orbifold with many discrete symmetries. High-resolution metrics may be obtained on a time scale of days using a desktop computer. We compute various geometric and spectral quantities from our numerical metrics. Using similar resources we expect our methods to practically extend to Calabi-Yau three-folds with a high degree of discrete symmetry, although we expect the general three-fold to remain a challenge due to memory requirements.
Headrick Matthew
Wiseman Toby
No associations
LandOfFree
Numerical Ricci-flat metrics on K3 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Numerical Ricci-flat metrics on K3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical Ricci-flat metrics on K3 will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-5098