Stable vector bundles and string theory
Abstract
In [4], Braun, He, Ovrut and Pantev proposed a model of string theory (based on the Calabi-Yau 3-fold X defined in [3]) whose low energy limit predicts certain properties of the Standard Model of particle Physics. This model depends on two vector bundles that have to be stable. We calculate the ample cone of X, and prove that one of them is stable, and the other one is not.
- Publication:
-
Geometry and Physics: XVII International Fall Workshop on Geometry and Physics
- Pub Date:
- May 2009
- DOI:
- 10.1063/1.3146240
- Bibcode:
- 2009AIPC.1130...71G
- Keywords:
-
- 11.25.-w;
- 12.15.-y;
- 14.80.Bn;
- 03.65.Fd;
- 03.65.Db;
- Strings and branes;
- Electroweak interactions;
- Standard-model Higgs bosons;
- Algebraic methods;
- Functional analytical methods