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: Yang–Mills–Higgs theories | Statement: ['t Hooft–Polyakov monopoles, ariseIn, Yang–Mills–Higgs theories]

Target entity: Yang–Mills–Higgs theories
Context triple: ['t Hooft–Polyakov monopoles, ariseIn, Yang–Mills–Higgs theories]

• A. Yang–Mills theory chosen
  Yang–Mills theory is a gauge field theory describing the behavior of non-abelian gauge fields, forming the mathematical foundation for modern particle physics, including the strong and electroweak interactions.
• B. Einstein–Yang–Mills equations
  The Einstein–Yang–Mills equations are the coupled field equations that describe how non-abelian gauge fields (such as those in Yang–Mills theory) interact with and curve spacetime within the framework of general relativity.
• C. Chern–Simons theory
  Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
• D. ’t Hooft–Polyakov monopoles
  ’t Hooft–Polyakov monopoles are theoretical, finite-energy magnetic monopole solutions arising in certain non-abelian gauge theories with spontaneous symmetry breaking.
• E. Weyl’s gauge theory
  Weyl’s gauge theory is an early 20th-century theoretical framework that introduced the concept of local gauge invariance, laying foundational ideas for modern gauge theories in particle physics.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.