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: Einstein–Hilbert action with Yang–Mills term | Statement: [Einstein–Yang–Mills equations, involves, Einstein–Hilbert action with Yang–Mills term]

Target entity: Einstein–Hilbert action with Yang–Mills term
Context triple: [Einstein–Yang–Mills equations, involves, Einstein–Hilbert action with Yang–Mills term]

• A. Einstein–Hilbert action chosen
  The Einstein–Hilbert action is the fundamental action in general relativity whose variation yields Einstein’s field equations, expressing gravity as the dynamics of spacetime curvature.
• 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. 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.
• D. Einstein–Maxwell equations
  The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
• E. Heisenberg–Euler effective Lagrangian
  The Heisenberg–Euler effective Lagrangian is a quantum electrodynamics result that captures nonlinear corrections to classical electromagnetism arising from virtual electron–positron pair effects in strong electromagnetic fields.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.