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(2) is diffeomorphic to the 3-sphere S³ | Statement: [SU(n), specialCase, SU(2) is diffeomorphic to the 3-sphere S³]

Target entity: SU(2) is diffeomorphic to the 3-sphere S³
Context triple: [SU(n), specialCase, SU(2) is diffeomorphic to the 3-sphere S³]

• A. Hopf fibration
  The Hopf fibration is a fundamental construction in topology that describes the 3-sphere as a fiber bundle of circles over the 2-sphere, revealing deep connections between geometry, algebra, and higher-dimensional spaces.
• 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. rotation group SU(2) chosen
  The rotation group SU(2) is the Lie group of 2×2 unitary matrices with determinant 1 that serves as the double cover of the three-dimensional rotation group SO(3) and underlies the quantum theory of angular momentum and spin.
• D. 4-sphere S^4
  The 4-sphere S⁴ is the four-dimensional analogue of the ordinary sphere, a compact, smooth, simply connected manifold that serves as a fundamental object in topology and differential geometry.
• E. SO(32)
  SO(32) is a special orthogonal Lie group of dimension 496 that appears as one of the two anomaly-free gauge groups in ten-dimensional heterotic string theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.