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: [Yang–Mills existence and mass gap problem, typicalGaugeGroup, SU(N)]

Target entity: SU(N)
Context triple: [Yang–Mills existence and mass gap problem, typicalGaugeGroup, SU(N)]

• A. 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.
• B. 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.
• 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. 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.
• E. SU(2)_L
  SU(2)_L is the non-Abelian weak isospin gauge symmetry of the Standard Model that governs left-handed weak interactions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: typicalGaugeGroup
Context triple: [Yang–Mills existence and mass gap problem, typicalGaugeGroup, SU(N)]

• A. gaugeGroup
  Indicates a relationship where a physical or theoretical model is associated with the gauge group that defines its underlying symmetry structure.
• B. gaugeType
  Indicates the specific kind or category of gauge associated with an entity or measurement.
• C. typicalGroup chosen
  Indicates that the subject belongs to or represents a standard, characteristic, or commonly occurring group associated with the object.
• D. typicalMeasure
  Indicates the standard or characteristic quantitative measure typically associated with something, such as its usual size, weight, duration, or other magnitude.
• E. dominantGauge
  Indicates that one gauge in a system serves as the primary or controlling reference against which other gauges or measurements are compared or regulated.
• F. None of above.