NUMERICAL RICCI FLAT METRICS ON K3 (hep-th/0506129)
Matthew Headrick (MIT), Toby Wiseman (Harvard)
Email: headrick _at_ mit.edu , twiseman _at_ fas.harvard.edu
HI-RESOLUTION versions of figures 1-4 in the paper
Download eps files (gzipped+tar)
ANIMATIONS of isosurfaces of R^2
Show full 4-d geometry. Animation time = Im(z2) (goes from 0
to 0.5), horizontal axes are Re, Im z1 (from 0 to 0.25) and vertical
axis is Re(z2) (0 to 0.25)
alpha =
0.13 ,
0.50 ,
0.72 ,
0.92
Rotating Im(z2)=0 slice (slices shown in figures 1 & 2 of paper)
alpha =
0.03 ,
0.13 ,
0.28 ,
0.50 ,
0.61 ,
0.72 ,
0.79 ,
0.85 ,
0.92
Rotating Re(z2)=Im(z2) slice
alpha =
0.03 ,
0.13 ,
0.28 ,
0.50 ,
0.61 ,
0.72 ,
0.79 ,
0.85 ,
0.92
Gratuitous rotating version of one of the spheres in figure 4 of paper
alpha =
0.13
DOWNLOAD C program code
The tar file below may be downloaded, and provides self-contained C
code (main file: K3.c) to numerically calculate the Ricci-flat Kahler
potential for the one Kahler parameter family of metrics described in
our paper.
The code implements the algorithm described in our paper. We have
placed it on the web to enable interested parties to explicitly see
this method and its implementation. The code is commented to some
extent, but a grasp of programming (and to some extent the C language)
is necessary to fully interpret the program.
If you download this code, please email us to let us know, and
definitely give us feedback if you have any.