Triple

T16614150
Position Surface form Disambiguated ID Type / Status
Subject Nima Arkani-Hamed E403649 entity
Predicate knownFor P22 FINISHED
Object amplituhedron
The amplituhedron is a geometric object in higher-dimensional space that provides a radically simplified, purely geometric way to compute scattering amplitudes in certain quantum field theories, notably planar N=4 supersymmetric Yang–Mills theory.
E1223598 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: amplituhedron | Statement: [Nima Arkani-Hamed, knownFor, amplituhedron]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: amplituhedron
Context triple: [Nima Arkani-Hamed, knownFor, amplituhedron]
  • A. ambitwistor space
    Ambitwistor space is a geometric construction in mathematical physics that extends twistor theory to simultaneously encode both left- and right-moving (or incoming and outgoing) massless particle trajectories, playing a key role in modern formulations of scattering amplitudes.
  • B. Polytopes
    Polytopes are large-scale multimedia architectural and musical installations created by Iannis Xenakis that combine sound, light, and spatial design into immersive, mathematically structured environments.
  • C. Coleman–Mandula theorem
    The Coleman–Mandula theorem is a foundational result in theoretical physics that severely restricts how spacetime and internal symmetries can be combined in a unified quantum field theory, showing that only a direct product of these symmetries is generally allowed.
  • D. 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.
  • E. Symanzik polynomials
    Symanzik polynomials are graph-based polynomials that arise in the parametric representation of Feynman integrals in quantum field theory, encoding the topology and kinematic dependence of Feynman diagrams.
  • 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: amplituhedron
Triple: [Nima Arkani-Hamed, knownFor, amplituhedron]
Generated description
The amplituhedron is a geometric object in higher-dimensional space that provides a radically simplified, purely geometric way to compute scattering amplitudes in certain quantum field theories, notably planar N=4 supersymmetric Yang–Mills theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: amplituhedron
Target entity description: The amplituhedron is a geometric object in higher-dimensional space that provides a radically simplified, purely geometric way to compute scattering amplitudes in certain quantum field theories, notably planar N=4 supersymmetric Yang–Mills theory.
  • A. ambitwistor space
    Ambitwistor space is a geometric construction in mathematical physics that extends twistor theory to simultaneously encode both left- and right-moving (or incoming and outgoing) massless particle trajectories, playing a key role in modern formulations of scattering amplitudes.
  • B. Polytopes
    Polytopes are large-scale multimedia architectural and musical installations created by Iannis Xenakis that combine sound, light, and spatial design into immersive, mathematically structured environments.
  • C. Coleman–Mandula theorem
    The Coleman–Mandula theorem is a foundational result in theoretical physics that severely restricts how spacetime and internal symmetries can be combined in a unified quantum field theory, showing that only a direct product of these symmetries is generally allowed.
  • D. 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.
  • E. Symanzik polynomials
    Symanzik polynomials are graph-based polynomials that arise in the parametric representation of Feynman integrals in quantum field theory, encoding the topology and kinematic dependence of Feynman diagrams.
  • 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_69d883897eb481909eaaa088ba9918d9 completed April 10, 2026, 4:58 a.m.
NER Named-entity recognition batch_69e360983d2c8190b1fe7f18aedfbde1 completed April 18, 2026, 10:44 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0075aeaa9881908bdef0f9f2b52e60 completed May 10, 2026, 12:10 p.m.
NEDg Description generation batch_6a007705f57881908b07a20ae8957c64 completed May 10, 2026, 12:16 p.m.
NED2 Entity disambiguation (via description) batch_6a007b18f0b08190a9ddc6ad7358d6b8 completed May 10, 2026, 12:33 p.m.
Created at: April 10, 2026, 5:17 a.m.