Quintics with Finite Simple Symmetries
Christoph Luhn, Pierre Ramond
TL;DR
This paper constructs all quintic polynomial invariants in five variables under certain finite simple non-Abelian symmetry groups, leading to the definition of specific Calabi-Yau three-folds.
Contribution
It provides a complete classification of quintic invariants with simple non-Abelian symmetries, connecting algebraic invariants to Calabi-Yau geometry.
Findings
Calabi-Yau three-folds invariant under A_5, A_6, PSL_2(11)
Complete set of quintic invariants in five variables
New links between finite group symmetries and Calabi-Yau structures
Abstract
We construct all quintic invariants in five variables with simple Non-Abelian finite symmetry groups. These define Calabi-Yau three-folds which are left invariant by the action of A_5, A_6 or PSL_2(11).
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Taxonomy
TopicsMolecular spectroscopy and chirality · Graph theory and applications · Protein Structure and Dynamics