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: SU(n) | Statement: [Calabi–Yau metric, hasHolonomy, SU(n)]

Target entity: SU(n)
Context triple: [Calabi–Yau metric, hasHolonomy, SU(n)]

• A. special unitary group SU(n) chosen
  The special unitary group SU(n) is a fundamental compact Lie group consisting of n×n unitary matrices with determinant 1, central in mathematics and physics, especially in quantum theory and gauge symmetries.
• B. SU(3)
  SU(3) is the special unitary group of degree three, a Lie group fundamental to the mathematical description of the strong interaction and the classification of hadrons in particle physics.
• C. U(1)
  U(1) is the group of complex numbers with absolute value 1 under multiplication, commonly representing the symmetry group of electromagnetism and other abelian gauge theories.
• 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. Gell-Mann matrices
  Gell-Mann matrices are a set of eight 3×3 traceless Hermitian matrices that serve as the generators of the SU(3) Lie algebra in quantum chromodynamics and other areas of particle physics.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasHolonomy
Context triple: [Calabi–Yau metric, hasHolonomy, SU(n)]

• A. hasLagrangian
  Indicates that a physical system or theory is associated with a specific Lagrangian function that characterizes its dynamics.
• B. hasDegreeOfFreedom
  Indicates that one entity possesses a specific independent parameter or mode in which it can vary or move relative to another entity or within a system.
• C. hasHelicity
  Indicates that an entity possesses a specific helicity, i.e., a handedness or twist-related property in its structure or motion.
• D. hasCurvatureInvariant
  Indicates that one entity possesses a specific curvature-related invariant property or value associated with its geometric or mathematical structure.
• E. hasLieAlgebra
  Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
• F. None of above. chosen