Triple

T10388684
Position Surface form Disambiguated ID Type / Status
Subject Seiberg–Witten theory E244833 entity
Predicate introduces P201 FINISHED
Object Seiberg–Witten curve
The Seiberg–Witten curve is an auxiliary complex algebraic curve encoding the low-energy effective dynamics of certain supersymmetric gauge theories, particularly their moduli spaces and BPS spectra.
E860092 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: Seiberg–Witten curve | Statement: [Seiberg–Witten theory, introduces, Seiberg–Witten curve]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Seiberg–Witten curve
Context triple: [Seiberg–Witten theory, introduces, Seiberg–Witten curve]
  • A. Seiberg–Witten theory
    Seiberg–Witten theory is a framework in quantum field theory and string theory that uses supersymmetry to exactly analyze strongly coupled gauge theories, leading to profound insights into dualities and four-dimensional topology.
  • B. Donaldson–Witten theory
    Donaldson–Witten theory is a four-dimensional topological quantum field theory derived from twisting N=2 supersymmetric Yang–Mills theory, used to compute Donaldson invariants of smooth four-manifolds.
  • C. 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.
  • D. Calabi–Yau manifold
    A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
  • E. Strominger–Yau–Zaslow conjecture
    The Strominger–Yau–Zaslow conjecture is a proposal in mirror symmetry stating that mirror pairs of Calabi–Yau manifolds can be understood as dual special Lagrangian torus fibrations, providing a geometric explanation of mirror symmetry.
  • 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: Seiberg–Witten curve
Triple: [Seiberg–Witten theory, introduces, Seiberg–Witten curve]
Generated description
The Seiberg–Witten curve is an auxiliary complex algebraic curve encoding the low-energy effective dynamics of certain supersymmetric gauge theories, particularly their moduli spaces and BPS spectra.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Seiberg–Witten curve
Target entity description: The Seiberg–Witten curve is an auxiliary complex algebraic curve encoding the low-energy effective dynamics of certain supersymmetric gauge theories, particularly their moduli spaces and BPS spectra.
  • A. Seiberg–Witten theory
    Seiberg–Witten theory is a framework in quantum field theory and string theory that uses supersymmetry to exactly analyze strongly coupled gauge theories, leading to profound insights into dualities and four-dimensional topology.
  • B. Donaldson–Witten theory
    Donaldson–Witten theory is a four-dimensional topological quantum field theory derived from twisting N=2 supersymmetric Yang–Mills theory, used to compute Donaldson invariants of smooth four-manifolds.
  • C. 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.
  • D. Calabi–Yau manifold
    A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
  • E. Strominger–Yau–Zaslow conjecture
    The Strominger–Yau–Zaslow conjecture is a proposal in mirror symmetry stating that mirror pairs of Calabi–Yau manifolds can be understood as dual special Lagrangian torus fibrations, providing a geometric explanation of mirror symmetry.
  • F. None of above. chosen

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_69d381b5116081908d85227bab6d3c0c completed April 6, 2026, 9:49 a.m.
NER Named-entity recognition batch_69d4e9a59d688190b1da1ea0ed48fafa completed April 7, 2026, 11:25 a.m.
NED1 Entity disambiguation (via context triple) batch_69d795b2423c8190a7c0e9b6fcbcc6db completed April 9, 2026, 12:04 p.m.
NEDg Description generation batch_69d7998acbf881909b6f063c4bf2d0a6 completed April 9, 2026, 12:20 p.m.
NED2 Entity disambiguation (via description) batch_69d79aa0cc5481908bc14cda8fb6e8b1 completed April 9, 2026, 12:25 p.m.
Created at: April 6, 2026, 12:05 p.m.