Statements (61)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:space
|
| gptkbp:dimensions |
complex dimension 3
|
| gptkbp:example |
Riemannian manifold
complex manifold complex algebraic variety Kähler-Einstein manifold special Kähler manifold |
| gptkbp:has_property |
Ricci-flat
|
| gptkbp:has_topology |
non-trivial fundamental group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Calabi-Yau space
|
| gptkbp:is_associated_with |
topological string theory
Calabi-Yau manifolds string theory landscape mirror pairs mirror symmetry conjecture Calabi-Yau varieties |
| gptkbp:is_characterized_by |
Kähler metric
vanishing first Chern class holomorphic curves holomorphic volume form Calabi-Yau metrics vanishing second Chern class |
| gptkbp:is_connected_to |
Hodge theory
topological field theory string theory dualities string theory compactifications string duality Calabi-Yau threefolds |
| gptkbp:is_defined_by |
Kähler potential
holomorphic vector fields holomorphic forms holomorphic sections Calabi-Yau condition |
| gptkbp:is_explored_in |
differential geometry
geometry mathematical physics algebraic topology complex geometry string landscape |
| gptkbp:is_related_to |
gptkb:F-theory
mirror symmetry Hodge decomposition string compactification moduli space Calabi-Yau conjecture |
| gptkbp:is_studied_in |
gptkb:Physics
gptkb:string_theory algebraic geometry mathematical physics |
| gptkbp:is_used_in |
gptkb:superstring_theory
compactification |
| gptkbp:is_utilized_in |
gptkb:quantum_field_theory
gptkb:Physics gptkb:M-theory mathematical physics string theory applications |
| gptkbp:named_after |
gptkb:Eugenio_Calabi
|
| gptkbp:type_of |
gptkb:Kähler_manifold
|
| gptkbp:used_in |
gptkb:string_theory
|
| gptkbp:bfsParent |
gptkb:Calabi-Yau_manifold
|
| gptkbp:bfsLayer |
6
|