Triple

T6396948
Position Surface form Disambiguated ID Type / Status
Subject anti-de Sitter space E143964 entity
Predicate hasIsometryGroup P14251 FINISHED
Object SO(2,d-1)
SO(2,d-1) is the non-compact Lorentz group in (d+1) dimensions that serves as the symmetry group of d-dimensional anti-de Sitter space and plays a central role in AdS/CFT correspondence.
E590883 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: SO(2,d-1) | Statement: [anti-de Sitter space, hasIsometryGroup, SO(2,d-1)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: SO(2,d-1)
Context triple: [anti-de Sitter space, hasIsometryGroup, SO(2,d-1)]
  • A. AdS isometry group SO(2,d)
    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.
  • 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. special orthogonal group SO(n)
    The special orthogonal group SO(n) is the group of all n×n real rotation matrices with determinant 1, representing orientation-preserving isometries of n-dimensional Euclidean space that fix the origin.
  • D. SL(2,C)
    SL(2,C) is the complex special linear group of 2×2 matrices with determinant 1, which serves as the double cover and spinor representation group of the proper orthochronous Lorentz group in four-dimensional spacetime.
  • E. rotation group SU(2)
    The rotation group SU(2) is the Lie group of 2×2 unitary matrices with determinant 1 that serves as the double cover of the three-dimensional rotation group SO(3) and underlies the quantum theory of angular momentum and spin.
  • 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: SO(2,d-1)
Triple: [anti-de Sitter space, hasIsometryGroup, SO(2,d-1)]
Generated description
SO(2,d-1) is the non-compact Lorentz group in (d+1) dimensions that serves as the symmetry group of d-dimensional anti-de Sitter space and plays a central role in AdS/CFT correspondence.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: SO(2,d-1)
Target entity description: SO(2,d-1) is the non-compact Lorentz group in (d+1) dimensions that serves as the symmetry group of d-dimensional anti-de Sitter space and plays a central role in AdS/CFT correspondence.
  • A. AdS isometry group SO(2,d)
    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.
  • 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. special orthogonal group SO(n)
    The special orthogonal group SO(n) is the group of all n×n real rotation matrices with determinant 1, representing orientation-preserving isometries of n-dimensional Euclidean space that fix the origin.
  • D. SL(2,C)
    SL(2,C) is the complex special linear group of 2×2 matrices with determinant 1, which serves as the double cover and spinor representation group of the proper orthochronous Lorentz group in four-dimensional spacetime.
  • E. rotation group SU(2)
    The rotation group SU(2) is the Lie group of 2×2 unitary matrices with determinant 1 that serves as the double cover of the three-dimensional rotation group SO(3) and underlies the quantum theory of angular momentum and spin.
  • 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_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.
NEDg Description generation batch_69c63beaa5408190b4421f49634f3df1 completed March 27, 2026, 8:12 a.m.
NED2 Entity disambiguation (via description) batch_69c63c5f7d508190bd263822cea1b782 completed March 27, 2026, 8:14 a.m.
Created at: March 22, 2026, 4:35 p.m.