Triple

T6396949
Position Surface form Disambiguated ID Type / Status
Subject anti-de Sitter space E143964 entity
Predicate hasIsometryGroup P14251 FINISHED
Object O(2,d-1) E143965 NE FINISHED

How this triple was built (2 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: O(2,d-1) | Statement: [anti-de Sitter space, hasIsometryGroup, O(2,d-1)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: O(2,d-1)
Context triple: [anti-de Sitter space, hasIsometryGroup, O(2,d-1)]
  • A. orthogonal group O(n+1,2)
    The orthogonal group O(n+1,2) is the Lie group of linear transformations preserving a nondegenerate quadratic form of signature (n+1,2), playing a central role in conformal and Lie sphere geometry.
  • B. Lorentz group
    The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
  • C. AdS isometry group SO(2,d) chosen
    The AdS isometry group SO(2,d) is the spacetime symmetry group of (d+1)-dimensional anti-de Sitter space, matching the conformal symmetry group of the dual d-dimensional field theory in the AdS/CFT correspondence.
  • D. Poincaré group
    The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
  • E. orthogonal group O(n)
    The orthogonal group O(n) is the group of all n×n real matrices that preserve the standard Euclidean inner product, representing rotations and reflections in n-dimensional space.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69c008db906c819096f3597d55d95432 completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c068953968819083a94f5de3e11819 completed March 22, 2026, 10:09 p.m.
NED1 Entity disambiguation (via context triple) batch_69c6389bd9f48190af9811cf8cee124e completed March 27, 2026, 7:58 a.m.
Created at: March 22, 2026, 4:35 p.m.