Universal Calabi-Yau Algebra: Classification and Enumeration of Fibrations
High Energy Physics - Theory
2009-09-11 v1
Abstract
We apply a universal normal Calabi-Yau algebra to the construction and classification of compact complex -dimensional spaces with SU(n) holonomy and their fibrations. This algebraic approach includes natural extensions of reflexive weight vectors to higher dimensions and a `dual' construction based on the Diophantine decomposition of invariant monomials. The latter provides recurrence formulae for the numbers of fibrations of Calabi-Yau spaces in arbitrary dimensions, which we exhibit explicitly for some Weierstrass and K3 examples.
Keywords
Cite
@article{arxiv.hep-th/0212272,
title = {Universal Calabi-Yau Algebra: Classification and Enumeration of Fibrations},
author = {F. Anselmo and J. Ellis and D. V. Nanopoulos and G. Volkov},
journal= {arXiv preprint arXiv:hep-th/0212272},
year = {2009}
}
Comments
17 pages, 2 figures