CALABIYAU Home Page
This page (and its
mirror)
is intended to become a resource for people
to post all kinds of information about every CalabiYau manifold that
anyone would care about, as well
as information about the physical theories that they define. Please direct
inquiries about data, software, etc. located on this WWW site to the
person who is identified as providing the information.
Select the number of parameters from
1 2 3 (not all available), or input
the number of parameters
(not yet available). Or input Hodge numbers or method of construction or...
CalabiYau Threefolds
Three classes of CalabiYau manifolds have been constructed completely
at this point.
 Complete Intersection CalabiYau Manifolds
The class of complete intersection manifolds embedded in
products of ordinary projective spaces, socalled
CICYs
 Weighted Complete Intersections
A number of different types of CalabiYau theories is
contained in the class
LandauGinzburg theories
at c=9 (116kb) whose complete construction
in two independent ways has been described in the
following
LG references.
 Theories with 5 (scaling) variables comprise the complete
class of
7,555 (78kb)
quasismooth CalabiYau hypersurfaces embedded in
weighted 4space.
 The list of
3,284
(39kb) theories with more than five variables define
higherdimensional manifolds, socalled
Special Fano Varieties or
Generalized CalabiYau Manifolds . A geometric projection
identifies the subsector of the cohomology of these
higherdimensional varieties which parametrizes the string
spectra described in the list.
 Toric constructions
 CalabiYau orbifolds (soon to come, not yet in operation)
Fibered CalabiYau threefolds,
of interest for dualities in string theory,
Mtheory and Ftheory:
Software for CalabiYau Threefolds
 TESS , a code which
computes the Hodge number of complete intersection CalabiYau manifolds
embedded in products of ordinary projective spaces.
(Provided by T.Hubsch (hubsch@scs.howard.edu))
 INSTANTON ,
a Mathematica program which calculates instanton numbers and other data for
CalabiYau complete intersections in toric varieties.
(Provided by A.Klemm (klemm@nxth04.cern.ch))
 PUNTOS is a Maple
program which triangulates polyhedra and computes the various phases
of toric hypersurfaces. A LaTex
manual explains the
program.
(Provided by J.de Loera )
(0,2) CalabiYau Threefolds and Mirror Symmetry
The construction of a first large class of (0,2) theories
has been discussed in the paper hepth/9609167.
A supplement lists the (0,2) LandauGinzburg theories
with various gauge groups considered in that paper.
 Paper hepth/9609167, available as a
ps file (107 kb)
 Supplement listing (0,2) LandauGinzburg theories
with gauge groups
CalabiYau Fourfolds
 The Hodge numbers for a few fibered fourfolds have been described in the
context of FTheory and Mtheory in the paper
hepth/9606148.

The complete set of codimension one transverse CalabiYau fourfolds
has been described in the paper hepth/9812195,
available as a ps file
(137 kb).
Furthermore, a large amount of configurations with codimension 2, 3
and 4 has been computed.

The supplement lists all the data.
Data format: weight_1 ... weight_n h22 h31 h21 h11
 Codimension 1, split into 10 files
1 (1.7 MB)
2 (1.8 MB)
3 (1.7 MB)
4 (1.8 MB)
5 (1.8 MB)
6 (1.8 MB)
7 (1.8 MB)
8 (1.8 MB)
9 (1.9 MB)
10 (2.0 MB)
11 (2.1 MB)
 Codimension 2, split into 7 files
1 (1.9 MB)
2 (2.0 MB)
3 (2.0 MB)
4 (2.0 MB)
5 (2.1 MB)
6 (2.2 MB)
7 (2.2 MB)
 Codimension 3 (589 kb)
 Codimension 4 (0.6 kb)
The rare cases of
negative Euler number (codimension 1) (3.5 kb)
In this list the additional (first) entry is the Euler number.
Fibered CalabiYau fourfolds, of interest for dualities:
Submissions
References
Please send suggestions to: Sheldon Katz (katz@math.okstate.edu)
or to
Rolf Schimmrigk
(netah@th.physik.unibonn.de)
or to
Andreas Wißkirchen
(wisskirc@th.physik.unibonn.de)
Back to
Theory Department Homepage.