Statements (60)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Field Theory
|
| gptkbp:appliesTo |
string topology
|
| gptkbp:associated_with |
gauge theories
braiding statistics |
| gptkbp:basedOn |
differential geometry
|
| gptkbp:can_be |
phase transitions
|
| gptkbp:explores |
symmetry breaking
|
| gptkbp:formulation |
higher dimensions
sheaf theory path integrals |
| gptkbp:has_a_focus_on |
mathematical physics
|
| gptkbp:hasPrograms |
condensed matter physics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Topological Field Theory
|
| gptkbp:includes |
gptkb:Chern-Simons_theory
Topological_Quantum_Field_Theory_(TQFT) |
| gptkbp:influenced |
algebraic topology
category theory |
| gptkbp:is_a |
quantum_field_theory
|
| gptkbp:is_a_platform_for |
topological phases of matter
understanding dualities understanding entanglement understanding quantum field theories with defects understanding quantum field theories in lower dimensions |
| gptkbp:is_a_subject_of |
interdisciplinary research
research in theoretical physics theoretical exploration |
| gptkbp:is_a_tool_for |
understanding quantum gravity
studying quantum entanglement |
| gptkbp:is_characterized_by |
locality and covariance
operads |
| gptkbp:is_studied_in |
mathematical physics
mathematicians topological quantum computing topological string theory topological defects topological insulators topological phases of matter quantum anomalies gauge theories in higher dimensions topological invariants of manifolds. |
| gptkbp:is_used_in |
topological invariants
quantum_field_theory |
| gptkbp:isConnectedTo |
gptkb:quantum_computing
gptkb:quantum_groups modular forms knot theory topological order categorical quantum mechanics quantum_topology |
| gptkbp:isUsedFor |
topological invariants of knots
|
| gptkbp:provides |
invariants for manifolds
|
| gptkbp:related_to |
string theory
homotopy theory homological algebra cohomology theories non-abelian gauge theories non-perturbative effects braided monoidal categories |
| gptkbp:research |
topological properties
|
| gptkbp:suitableFor |
mathematics
|