Statements (65)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:exhaust_system
|
| gptkbp:analyzes |
complex algebraic varieties
|
| gptkbp:constructed_in |
toric varieties
mirror symmetry techniques |
| gptkbp:element |
string landscape
|
| gptkbp:has_applications_in |
gptkb:Physics
string theory compactifications string theory phenomenology mathematical physics research |
| gptkbp:has_connection_to |
algebraic topology
mathematical physics theories |
| gptkbp:has_geometric_structure |
Riemannian metric
|
| gptkbp:has_property |
Kähler metrics
holomorphic forms |
| gptkbp:has_relationship_with |
mirror manifolds
|
| gptkbp:has_symmetries |
Calabi-Yau symmetries
|
| gptkbp:has_topology |
non-trivial fundamental group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Calabi-Yau manifold
|
| gptkbp:is_analyzed_in |
homological algebra
topological methods quantum field theories |
| gptkbp:is_associated_with |
supersymmetry
|
| gptkbp:is_atype_of |
gptkb:Calabi-Yau_space
gptkb:Kähler_manifold complex manifold |
| gptkbp:is_characterized_by |
Ricci-flat metric
holomorphic sections Calabi-Yau conditions vanishing of the first Chern class |
| gptkbp:is_connected_to |
gptkb:F-theory
string theory landscape |
| gptkbp:is_described_as |
complex geometry
complex differential geometry |
| gptkbp:is_explored_in |
quantum gravity
higher-dimensional theories |
| gptkbp:is_involved_in |
string dualities
string theory research string compactification |
| gptkbp:is_related_to |
gptkb:Calabi_conjecture
Hodge theory mirror symmetry |
| gptkbp:is_represented_in |
gptkb:Fano_varieties
complex structures |
| gptkbp:is_studied_for |
topological string theory
|
| gptkbp:is_studied_in |
algebraic geometry
mathematical physics theoretical mathematics geometric analysis deformation theory |
| gptkbp:is_used_in |
gptkb:string_theory
mathematical modeling |
| gptkbp:length |
complex dimension 3
|
| gptkbp:model |
extra dimensions
physical theories |
| gptkbp:named_after |
Eugenio Calabi and Shing-Tung Yau
|
| gptkbp:scientific_classification |
topological invariants
|
| gptkbp:support |
gptkb:D-branes
compactification string theory models gauge theories flux compactifications Calabi-Yau metrics |
| gptkbp:was_akey_figure_in |
gptkb:M-theory
|
| gptkbp:bfsParent |
gptkb:Type_IIA_string_theory
|
| gptkbp:bfsLayer |
5
|