Triple

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).

Phrase: mirror Calabi–Yau manifold | Statement: [Calabi–Yau manifold, mirrorTo, mirror Calabi–Yau manifold]

Target entity: mirror Calabi–Yau manifold
Context triple: [Calabi–Yau manifold, mirrorTo, mirror Calabi–Yau manifold]

• A. Calabi–Yau manifold chosen
  A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
• B. Kähler manifold
  A Kähler manifold is a complex manifold equipped with a Hermitian metric whose associated symplectic form is closed, making it simultaneously a complex, Riemannian, and symplectic manifold in a compatible way.
• C. Differential Analysis on Complex Manifolds
  "Differential Analysis on Complex Manifolds" is a foundational mathematical monograph that systematically develops the theory of differential and complex geometry on complex manifolds.
• D. Clebsch diagonal surfaces
  Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
• E. Klein quartic
  The Klein quartic is a highly symmetric algebraic curve of genus 3 that plays a central role in complex geometry, group theory, and the study of Riemann surfaces.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: mirrorTo
Context triple: [Calabi–Yau manifold, mirrorTo, mirror Calabi–Yau manifold]

• A. mirrorType
  Indicates that one entity is a specific kind or category of mirror in relation to another entity.
• B. mirrorTechnology
  Indicates a relationship where one technology closely reflects, imitates, or duplicates the functionality or design of another.
• C. mirrorCount
  Indicates the number of mirrors associated with or present in relation to a given entity or context.
• D. mirrorCastBy chosen
  Indicates that one entity serves as a reflective counterpart or duplication of another, as if produced or defined by a mirror.
• E. primaryMirrorShape
  Indicates that one entity has a primary mirror whose geometric shape or curvature type is specified by the other entity.
• F. None of above.