Triple

T36870587
Position Surface form Disambiguated ID Type / Status
Subject non-Abelian Berry connection E911212 entity
Predicate instanceOf P0 FINISHED
Object concept in geometric phase theory C18641 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07
Target class: concept in geometric phase theory
Context triple: [non-Abelian Berry connection, instanceOf, concept in geometric phase theory]
  • A. geometric invariant
    A geometric invariant is a property of a geometric object that remains unchanged under a specified group of transformations, such as rotations, translations, or more general symmetries.
  • B. phase factor
    A phase factor is a complex number of unit magnitude, typically expressed as \(e^{i\theta}\), that multiplies a quantum state or wavefunction to shift its phase without changing observable probabilities.
  • C. geometric theory of gravity
    A geometric theory of gravity describes gravitational phenomena as manifestations of the curvature or structure of spacetime itself, rather than as a traditional force acting at a distance.
  • D. concept in Lie theory chosen
    A concept in Lie theory is an abstract mathematical construct—such as a Lie group, Lie algebra, or representation—that captures continuous symmetries and their algebraic and geometric properties.
  • E. concept in vector calculus
    A concept in vector calculus is an abstract idea or principle involving vector-valued functions and operations—such as gradients, divergences, curls, and line or surface integrals—that describes how quantities with both magnitude and direction vary in space.
  • F. None of above.

Provenance (1 batch)

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_69f76e80f6f0819091cba8e19b269615 completed May 3, 2026, 3:49 p.m.
Created at: May 3, 2026, 4:13 p.m.