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: classical Yang–Mills equations | Statement: ['t Hooft–Polyakov monopoles, satisfy, classical Yang–Mills equations]

Target entity: classical Yang–Mills equations
Context triple: ['t Hooft–Polyakov monopoles, satisfy, classical Yang–Mills equations]

• A. 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.
• B. 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.
• C. Schwinger–Dyson equations
  The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
• D. Landau–Lifshitz equations
  The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
• E. The Classical Field Theories
  The Classical Field Theories is a foundational scholarly work by Clifford Truesdell that rigorously develops the mathematical and physical principles underlying classical continuum mechanics and field theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.