Triple

T6155419
Position Surface form Disambiguated ID Type / Status
Subject Sidney Coleman E137307 entity
Predicate notableIdea P4 FINISHED
Object 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.
E573375 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: Coleman theorem on symmetry breaking in two dimensions | Statement: [Sidney Coleman, notableIdea, Coleman theorem on symmetry breaking in two dimensions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Coleman theorem on symmetry breaking in two dimensions
Context triple: [Sidney Coleman, notableIdea, Coleman theorem on symmetry breaking in two dimensions]
  • A. 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.
  • B. 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.
  • C. Lectures on Phase Transitions and the Renormalization Group
    *Lectures on Phase Transitions and the Renormalization Group* is a widely used advanced physics textbook that provides a clear, modern introduction to critical phenomena, scaling, and renormalization group methods in statistical mechanics and condensed matter physics.
  • D. Landau theory of second-order phase transitions
    Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
  • E. Luttinger liquid theory
    Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
  • 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: Coleman theorem on symmetry breaking in two dimensions
Triple: [Sidney Coleman, notableIdea, Coleman theorem on symmetry breaking in two dimensions]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Coleman theorem on symmetry breaking in two dimensions
Target entity description: 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.
  • A. 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.
  • B. 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.
  • C. Lectures on Phase Transitions and the Renormalization Group
    *Lectures on Phase Transitions and the Renormalization Group* is a widely used advanced physics textbook that provides a clear, modern introduction to critical phenomena, scaling, and renormalization group methods in statistical mechanics and condensed matter physics.
  • D. Landau theory of second-order phase transitions
    Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
  • E. Luttinger liquid theory
    Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
  • 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_69c008a45d008190832a9e19f5d63406 completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c05d01ddb0819085b5f5338b86a25d completed March 22, 2026, 9:20 p.m.
NED1 Entity disambiguation (via context triple) batch_69c141867fac819093a3093aa8251eac completed March 23, 2026, 1:35 p.m.
NEDg Description generation batch_69c14794c3488190874b0a4d2c00514d completed March 23, 2026, 2 p.m.
NED2 Entity disambiguation (via description) batch_69c1480b10f08190891bfc8488bbaf16 completed March 23, 2026, 2:02 p.m.
Created at: March 22, 2026, 4:17 p.m.