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: class field theory | Statement: [Artin reciprocity law, subfield, class field theory]

Target entity: class field theory
Context triple: [Artin reciprocity law, subfield, class field theory]

• A. classical field theory
  Classical field theory is a framework in physics that describes how continuous fields, such as electromagnetic or gravitational fields, evolve in space and time according to deterministic equations.
• B. Noether field
  A Noether field is a type of field extension studied in invariant theory and Galois theory, arising as the fixed field of a group action on a rational function field and central to questions about rationality in Noether’s problem.
• C. Levi-Civita field
  The Levi-Civita field is a non-Archimedean ordered field of formal power series with real coefficients and well-ordered rational exponents, used to rigorously model infinitesimals and infinite quantities in analysis.
• D. global class field theory chosen
  Global class field theory is a branch of algebraic number theory that classifies finite abelian extensions of global fields (such as number fields) in terms of their arithmetic data, particularly via idele class groups and reciprocity maps.
• E. Yang–Mills theory
  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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.