Calabi-Yau Varieties

GPTKB entity

Statements (61)
Predicate Object
gptkbp:instanceOf mathematical object
gptkbp:associated_with D-branes
string theory compactifications
theoretical models of physics
gptkbp:can_be polynomial equations
singularities
Kähler metrics
extra dimensions
non-trivial fundamental group
supersymmetric theories
various mathematical frameworks
gptkbp:designatedAs Hodge_numbers
their_Betti_numbers
gptkbp:exhibits topological properties
conifold_singularities
gptkbp:explores computational methods
various mathematical techniques
moduli_spaces
gptkbp:has Ricci-flat metric
https://www.w3.org/2000/01/rdf-schema#label Calabi-Yau Varieties
gptkbp:is_a gptkb:Calabi-Yau_manifolds
complex manifold
gptkbp:is_available_in complex shapes
gptkbp:is_characterized_by holomorphic forms
their dimensionality
gptkbp:is_designed_to toric varieties
gptkbp:is_essential_for theoretical physics
algebraic geometry
string dualities
understanding the universe
the study of geometry
mathematical physics research
the geometry of string theory
gptkbp:is_integrated_with higher-dimensional spaces
gptkbp:is_studied_in mathematical physics
topological invariants
mathematical structure
string compactifications
geometric properties
geometric topology
symmetry properties
gauge theories
topological features
mathematical implications
mirror symmetry techniques
physical theories
gptkbp:is_used_in gptkb:Calabi-Yau_manifolds
string theory
string theory models
algebraic geometry techniques
the context of string theory
theoretical explorations of physics
Calabi-Yau_equations
gptkbp:isConnectedTo gptkb:Calabi-Yau_manifolds
mathematical conjectures
quantum_field_theories
string_landscape
gptkbp:isUsedFor effective field theories
gptkbp:related_to mirror symmetry
topological string theory
F-theory