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: Cardy’s crossing formula in percolation | Statement: [John Cardy, knownFor, Cardy’s crossing formula in percolation]

Target entity: Cardy’s crossing formula in percolation
Context triple: [John Cardy, knownFor, Cardy’s crossing formula in percolation]

• A. Fortuin–Kasteleyn random cluster model
  The Fortuin–Kasteleyn random cluster model is a unifying probabilistic framework in statistical mechanics that represents spin systems and percolation models, notably providing a graphical reformulation of the Potts model.
• B. Yang–Lee edge singularity
  The Yang–Lee edge singularity is a critical point in the complex plane of an external field where the zeros of a system’s partition function accumulate, defining a non-unitary universality class in statistical mechanics and quantum field theory.
• C. Yang–Lee theory
  Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
• D. Kramers–Wannier duality in the Ising model
  Kramers–Wannier duality in the Ising model is a mathematical transformation that relates the high-temperature and low-temperature phases of the two-dimensional Ising model, revealing the location of its critical point and illustrating a deep symmetry between ordered and disordered states.
• E. Coleman theorem on symmetry breaking in two dimensions
  The Coleman theorem on symmetry breaking in two dimensions is a result in quantum field theory stating that continuous symmetries cannot undergo spontaneous symmetry breaking in two-dimensional spacetime due to large infrared fluctuations.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Cardy’s crossing formula in percolation
Target entity description: Cardy’s crossing formula in percolation is a celebrated result in two-dimensional critical percolation theory that gives an exact expression for the probability of a cluster connecting opposite sides of a domain, derived using conformal field theory.

• A. Fortuin–Kasteleyn random cluster model
  The Fortuin–Kasteleyn random cluster model is a unifying probabilistic framework in statistical mechanics that represents spin systems and percolation models, notably providing a graphical reformulation of the Potts model.
• B. Yang–Lee edge singularity
  The Yang–Lee edge singularity is a critical point in the complex plane of an external field where the zeros of a system’s partition function accumulate, defining a non-unitary universality class in statistical mechanics and quantum field theory.
• C. Yang–Lee theory
  Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
• D. Kramers–Wannier duality in the Ising model
  Kramers–Wannier duality in the Ising model is a mathematical transformation that relates the high-temperature and low-temperature phases of the two-dimensional Ising model, revealing the location of its critical point and illustrating a deep symmetry between ordered and disordered states.
• E. Coleman theorem on symmetry breaking in two dimensions
  The Coleman theorem on symmetry breaking in two dimensions is a result in quantum field theory stating that continuous symmetries cannot undergo spontaneous symmetry breaking in two-dimensional spacetime due to large infrared fluctuations.
• F. None of above. chosen