Open AccessExamples of Calabi-Yau threefolds with small Hodge numbers
Author(s) -
A O Shishanin
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2081/1/012030
Subject(s) - calabi–yau manifold , mathematics , pure mathematics , group (periodic table) , heterotic string theory , group action , intersection (aeronautics) , factoring , point (geometry) , fundamental group , superstring theory , algebra over a field , geometry , physics , mathematical physics , engineering , quantum mechanics , aerospace engineering , finance , supersymmetry , economics
We observe some suitable examples of Calabi-Yau threefolds for heterotic superstring compactifications. It is reasonable to seek CY threefolds with Euler characteristic equals ±6 because of generation’s number. Hosotani mechanism for violations of the gauge group by the Wilson loops requires such CY space has a non-trivial fundamental group. These spaces can be obtained by factoring the complete intersection Calabi-Yau spaces by the free action of some discrete group. Also we shortly discuss cases when discrete groups act with fixed point sets.