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 equations | Statement: [Yang monopole, isSolutionOf, Yang–Mills equations]

Target entity: Yang–Mills equations
Context triple: [Yang monopole, isSolutionOf, 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. “The self-duality equations on a Riemann surface”
  “The self-duality equations on a Riemann surface” is a seminal mathematical paper that introduced what are now called Hitchin equations, laying foundational connections between gauge theory, Higgs bundles, and the geometry of moduli spaces on Riemann surfaces.
• D. 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.
• E. Yang–Mills existence and mass gap problem
  The Yang–Mills existence and mass gap problem is a fundamental unsolved question in mathematical physics that asks for a rigorous proof that quantum Yang–Mills theory exists and exhibits a positive mass gap, and is one of the seven Millennium Prize Problems.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.