Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-03-20
Physics
High Energy Physics
High Energy Physics - Theory
Proceedings of the XIII Fall Workshop on Geometry and Physics Murcia, September 20--22, 2004
Scientific paper
The object of this work is the systematical study of a certain type of generalized Cartan matrices associated with the Dynkin diagrams that characterize Cartan-Lie and affine Kac-Moody algebras. These generalized matrices are associated to graphs which arise in the study and classification of Calabi-Yau spaces through Toric Geometry. We focus in the study of what should be considered the generalization of the affine exceptional series $E_{6,7,8}^{(1)}$ Kac-Moody matrices. It has been conjectured that these generalized simply laced graphs and associated link matrices may characterize generalizations of Cartan-Lie and affine Kac-Moody algebras.
No associations
LandOfFree
Generalized Cartan-Kac Matrices inspired from Calabi-Yau spaces 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 Generalized Cartan-Kac Matrices inspired from Calabi-Yau spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Cartan-Kac Matrices inspired from Calabi-Yau spaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-261664