Triple
T10269822
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chern–Simons theory |
E240804
|
entity |
| Predicate | actionFunctionalDependsOn |
P23285
|
FINISHED |
| Object |
Chern–Simons 3-form
The Chern–Simons 3-form is a differential 3-form constructed from a gauge connection whose integral defines the topological Chern–Simons action in three-dimensional gauge theories.
|
E240804
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Chern–Simons 3-form | Statement: [Chern–Simons theory, actionFunctionalDependsOn, Chern–Simons 3-form]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Chern–Simons 3-form Context triple: [Chern–Simons theory, actionFunctionalDependsOn, Chern–Simons 3-form]
-
A.
Chern–Simons theory
Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
-
B.
Chern
Chern is a settlement in Russia that historically served as the administrative center of Chernsky Uyezd.
-
C.
Chern–Weil theory
Chern–Weil theory is a framework in differential geometry that constructs characteristic classes of vector bundles from curvature forms, linking topology and geometry through invariant polynomials.
-
D.
Maurer–Cartan form
The Maurer–Cartan form is a canonical Lie algebra-valued 1-form on a Lie group that encodes its infinitesimal structure and underlies many constructions in differential geometry and gauge theory.
-
E.
Rozansky–Witten theory
Rozansky–Witten theory is a three-dimensional topological quantum field theory associated with hyperkähler manifolds that yields invariants of 3-manifolds and links via holomorphic symplectic geometry.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Chern–Simons 3-form Triple: [Chern–Simons theory, actionFunctionalDependsOn, Chern–Simons 3-form]
Generated description
The Chern–Simons 3-form is a differential 3-form constructed from a gauge connection whose integral defines the topological Chern–Simons action in three-dimensional gauge theories.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Chern–Simons 3-form Target entity description: The Chern–Simons 3-form is a differential 3-form constructed from a gauge connection whose integral defines the topological Chern–Simons action in three-dimensional gauge theories.
-
A.
Chern–Simons theory
chosen
Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
-
B.
Chern
Chern is a settlement in Russia that historically served as the administrative center of Chernsky Uyezd.
-
C.
Chern–Weil theory
Chern–Weil theory is a framework in differential geometry that constructs characteristic classes of vector bundles from curvature forms, linking topology and geometry through invariant polynomials.
-
D.
Maurer–Cartan form
The Maurer–Cartan form is a canonical Lie algebra-valued 1-form on a Lie group that encodes its infinitesimal structure and underlies many constructions in differential geometry and gauge theory.
-
E.
Rozansky–Witten theory
Rozansky–Witten theory is a three-dimensional topological quantum field theory associated with hyperkähler manifolds that yields invariants of 3-manifolds and links via holomorphic symplectic geometry.
- F. None of above.
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d381a94c1881908fc38fc263d9b9c2 |
completed | April 6, 2026, 9:49 a.m. |
| NER | Named-entity recognition | batch_69d4dfbfa26c8190b536655d33112ddf |
completed | April 7, 2026, 10:43 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d71ceeeec88190a36a5e67dc44cfe1 |
completed | April 9, 2026, 3:28 a.m. |
| NEDg | Description generation | batch_69d71f76e3cc8190b21a5fe8825caa2b |
completed | April 9, 2026, 3:39 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69d7319938ec8190a4a1a5f09832e3e3 |
completed | April 9, 2026, 4:56 a.m. |
Created at: April 6, 2026, 11:35 a.m.