Triple

T13913005
Position Surface form Disambiguated ID Type / Status
Subject Landau–Peierls instability E334545 entity
Predicate relatedTo P37 FINISHED
Object Kosterlitz–Thouless–Halperin–Nelson–Young theory
The Kosterlitz–Thouless–Halperin–Nelson–Young theory is a framework in condensed matter physics that explains phase transitions in two-dimensional systems via topological defects and the unbinding of vortex–antivortex pairs, rather than conventional symmetry breaking.
E1069009 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: Kosterlitz–Thouless–Halperin–Nelson–Young theory | Statement: [Landau–Peierls instability, relatedTo, Kosterlitz–Thouless–Halperin–Nelson–Young theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kosterlitz–Thouless–Halperin–Nelson–Young theory
Context triple: [Landau–Peierls instability, relatedTo, Kosterlitz–Thouless–Halperin–Nelson–Young theory]
  • A. Yang–Lee theory
    Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
  • B. Ginzburg–Landau theory of superconductivity
    The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
  • C. Coleman theorem on symmetry breaking in two dimensions
    The Coleman theorem on symmetry breaking in two dimensions is a result in quantum field theory stating that continuous symmetries cannot undergo spontaneous symmetry breaking in two-dimensional spacetime due to large infrared fluctuations.
  • D. Kramers–Wannier duality in the Ising model
    Kramers–Wannier duality in the Ising model is a mathematical transformation that relates the high-temperature and low-temperature phases of the two-dimensional Ising model, revealing the location of its critical point and illustrating a deep symmetry between ordered and disordered states.
  • E. BCS theory of superconductivity
    The BCS theory of superconductivity is a fundamental microscopic theory that explains superconductivity through the formation of Cooper pairs of electrons and their collective quantum behavior in a solid.
  • 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: Kosterlitz–Thouless–Halperin–Nelson–Young theory
Triple: [Landau–Peierls instability, relatedTo, Kosterlitz–Thouless–Halperin–Nelson–Young theory]
Generated description
The Kosterlitz–Thouless–Halperin–Nelson–Young theory is a framework in condensed matter physics that explains phase transitions in two-dimensional systems via topological defects and the unbinding of vortex–antivortex pairs, rather than conventional symmetry breaking.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Kosterlitz–Thouless–Halperin–Nelson–Young theory
Target entity description: The Kosterlitz–Thouless–Halperin–Nelson–Young theory is a framework in condensed matter physics that explains phase transitions in two-dimensional systems via topological defects and the unbinding of vortex–antivortex pairs, rather than conventional symmetry breaking.
  • A. Yang–Lee theory
    Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
  • B. Ginzburg–Landau theory of superconductivity
    The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
  • C. Coleman theorem on symmetry breaking in two dimensions
    The Coleman theorem on symmetry breaking in two dimensions is a result in quantum field theory stating that continuous symmetries cannot undergo spontaneous symmetry breaking in two-dimensional spacetime due to large infrared fluctuations.
  • D. Kramers–Wannier duality in the Ising model
    Kramers–Wannier duality in the Ising model is a mathematical transformation that relates the high-temperature and low-temperature phases of the two-dimensional Ising model, revealing the location of its critical point and illustrating a deep symmetry between ordered and disordered states.
  • E. BCS theory of superconductivity
    The BCS theory of superconductivity is a fundamental microscopic theory that explains superconductivity through the formation of Cooper pairs of electrons and their collective quantum behavior in a solid.
  • 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_69d81c5eaa9c819083b1ff8689179565 completed April 9, 2026, 9:38 p.m.
NER Named-entity recognition batch_69de27245c648190b2946845ce0fdbf8 completed April 14, 2026, 11:38 a.m.
NED1 Entity disambiguation (via context triple) batch_69f7c72a345481908f8552bca7bb1a5a completed May 3, 2026, 10:07 p.m.
NEDg Description generation batch_69f7c8d477f881908f8cfd2783e7f10f completed May 3, 2026, 10:14 p.m.
NED2 Entity disambiguation (via description) batch_69f7ca27ffd4819080bccd6bfd88ddb3 completed May 3, 2026, 10:20 p.m.
Created at: April 9, 2026, 10:16 p.m.