Properties (61)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical manifold
|
| gptkbp:canEstablish |
singularities
non-abelian gauge symmetry conical singularities mirror pairs topological invariance |
| gptkbp:canLeadTo |
fiber bundles
|
| gptkbp:canSupport |
D-branes
mirror symmetry supersymmetry topological defects gauge theories flux compactifications string vacua |
| gptkbp:characterizedBy |
Ricci-flat metric
|
| gptkbp:diedIn |
gptkb:Calabi-Yau_compactification
|
| gptkbp:dimensions |
complex dimension 3
|
| gptkbp:has |
gptkb:holonomy_group_SU(n)
complex structure |
| gptkbp:hasExhibition |
gptkb:Calabi-Yau_threefolds
gptkb:Kähler-Einstein_manifolds complex manifolds compact manifolds non-compact manifolds Ricci-flat manifolds Calabi-Yau_manifolds_in_physics |
| https://www.w3.org/2000/01/rdf-schema#label |
Calabi-Yau manifolds
|
| gptkbp:isAccessibleBy |
toric geometry
complex algebraic varieties toric varieties |
| gptkbp:isConnectedTo |
string compactifications
|
| gptkbp:isRelatedTo |
string dualities
F-theory Calabi_conjecture Hodge_theory moduli_spaces string_landscape |
| gptkbp:isStudiedIn |
theoretical physics
algebraic geometry differential geometry mathematical physics mathematical analysis theoretical mathematics |
| gptkbp:isUsedFor |
algebraic topology
topological invariants complex geometry complex differential geometry |
| gptkbp:isUsedIn |
mathematical modeling
M-theory superstring theory topological string theory mathematical physics research quantum_field_theory |
| gptkbp:mayHave |
non-trivial fundamental group
special holonomy multiple topological types various geometric structures various symmetries |
| gptkbp:namedAfter |
gptkb:Eugenio_Calabi
|
| gptkbp:relatedTo |
gptkb:Kähler_manifolds
|
| gptkbp:usedIn |
string theory
|