BF theory
E508541
BF theory is a topological quantum field theory defined in terms of a gauge connection and an auxiliary field, notable for its role in describing topological aspects of gauge theories and gravity.
All labels observed (1)
| Label | Occurrences |
|---|---|
| BF theory canonical | 5 |
How this entity was disambiguated
This entity first appeared as the object of triple T5273890 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: BF theory Context triple: [topological quantum field theory, example, BF theory]
-
A.
BF
BF is the IATA airline designator for French Bee, a French low-cost long-haul carrier.
-
B.
BF
BF is the two-letter ISO 3166-1 alpha-2 country code assigned to Burkina Faso.
-
C.
BFV
BFV is the National Rail station code for Great Victoria Street railway station in Belfast, Northern Ireland.
-
D.
Bf
Bf is the aircraft designation prefix historically used for military aircraft designed or built by the German manufacturer Bayerische Flugzeugwerke, notably including early Messerschmitt fighters.
-
E.
FT
FT is the Faculty of Theology at the University of Geneva, a higher education institution specializing in theological and religious studies.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: BF theory Target entity description: BF theory is a topological quantum field theory defined in terms of a gauge connection and an auxiliary field, notable for its role in describing topological aspects of gauge theories and gravity.
-
A.
BF
BF is the IATA airline designator for French Bee, a French low-cost long-haul carrier.
-
B.
BF
BF is the two-letter ISO 3166-1 alpha-2 country code assigned to Burkina Faso.
-
C.
BFV
BFV is the National Rail station code for Great Victoria Street railway station in Belfast, Northern Ireland.
-
D.
Bf
Bf is the aircraft designation prefix historically used for military aircraft designed or built by the German manufacturer Bayerische Flugzeugwerke, notably including early Messerschmitt fighters.
-
E.
FT
FT is the Faculty of Theology at the University of Geneva, a higher education institution specializing in theological and religious studies.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
gauge theory
ⓘ
topological quantum field theory ⓘ |
| appearsIn |
Plebanski action for general relativity as constrained BF theory
ⓘ
linked to:
Plebański formulation of general relativity
|
| appliesTo | topological aspects of gravity ⓘ |
| canBeDiscretizedAs | lattice BF theory ⓘ |
| canBeFormulatedIn | any spacetime dimension ⓘ |
| definedOn | principal G-bundle ⓘ |
| dependsOnMetric | false ⓘ |
| describes | topological aspects of gauge theories ⓘ |
| fieldContent |
auxiliary field B
ⓘ
gauge connection ⓘ |
| generalizes |
Schwarz-type topological field theories
ⓘ
linked to:
topological quantum field theory
|
| hasAction | ∫ Tr(B ∧ F) ⓘ |
| hasCoupling | B field coupled linearly to curvature F ⓘ |
| hasEquationOfMotion |
DB = 0 (covariant constancy of B)
ⓘ
F = 0 (flat connection condition) ⓘ |
| hasGaugeGroup | Lie group G ⓘ |
| hasProperty |
background independent
ⓘ
finite number of degrees of freedom on compact manifolds ⓘ gauge invariant ⓘ |
| hasSymmetry |
local gauge symmetry
ⓘ
topological shift symmetry of B field ⓘ |
| hasVariant |
3-dimensional BF theory
ⓘ
4-dimensional BF theory ⓘ BF theory with cosmological term ⓘ constrained BF theory ⓘ |
| influenced | spin foam models for loop quantum gravity ⓘ |
| isTopological | true ⓘ |
| mathematicallyRelatedTo |
category theory and higher gauge theory
ⓘ
cohomology of the underlying manifold ⓘ topological invariants of manifolds ⓘ |
| quantizationMethod |
canonical quantization
ⓘ
path integral quantization ⓘ |
| relatedTo |
Chern–Simons theory
ⓘ
Plebanski formulation of general relativity ⓘ
linked to:
Plebański formulation of general relativity
lattice gauge theory ⓘ spin foam models of quantum gravity ⓘ |
| studiedIn |
high energy theoretical physics
ⓘ
mathematical physics ⓘ quantum topology ⓘ |
| usedIn |
knot invariants and link invariants
ⓘ
quantum gravity research ⓘ topological phases of matter ⓘ |
| usedToConstruct |
state sum models
ⓘ
topological invariants via partition functions ⓘ |
| usesCurvature | field strength F of the gauge connection ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: BF theory Description of subject: BF theory is a topological quantum field theory defined in terms of a gauge connection and an auxiliary field, notable for its role in describing topological aspects of gauge theories and gravity.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.