• Corpus ID: 16463965

The Classification of the Simply Laced Berger Graphs from Calabi-Yau $CY_3$ spaces

@article{Ellis2004TheCO,
  title={The Classification of the Simply Laced Berger Graphs from Calabi-Yau \$CY\_3\$ spaces},
  author={J. Ellis and Emilio Torrente-Lujan and Guennadi Volkov},
  journal={arXiv: High Energy Physics - Theory},
  year={2004}
}
The algebraic approach to the construction of the reflexive polyhedra that yield Calabi-Yau spaces in three or more complex dimensions with K3 fibres reveals graphs that include and generalize the Dynkin diagrams associated with gauge symmetries. In this work we continue to study the structure of graphs obtained from CY3 reflexive polyhedra. The objective is to describe the "simply laced" cases, those graphs obtained from three dimensional spaces with K3 fibers which lead to symmetric matrices… 

REFLEXIVE NUMBERS AND BERGER GRAPHS FROM CALABI–YAU SPACES

We review the Batyrev approach to Calabi–Yau spaces based on reflexive weight vectors. The Universal CY algebra gives a possibility to construct the corresponding reflexive numbers in a recursive

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