Triple

Target class: definition of topological quantum field theory
Context triple: [Atiyah–Segal axioms, instanceOf, definition of topological quantum field theory]

• A. topological quantum field theory chosen
  A topological quantum field theory is a quantum field theory whose observables and correlation functions depend only on the topology of the underlying spacetime manifold, not on its geometric details such as distances or angles.
• B. topological field
  A topological field is a field equipped with a topology such that both the field operations (addition, multiplication) and taking inverses (on nonzero elements) are continuous with respect to that topology.
• C. gauge theory
  A gauge theory is a type of field theory in which the laws of physics are invariant under continuous local transformations of certain internal symmetries, leading to the introduction of gauge fields that mediate fundamental interactions.
• D. topological defect
  A topological defect is a stable, localized irregularity in an ordered medium or field configuration that arises because the system’s topology prevents it from being continuously transformed into a uniform state.
• E. theory in field theory
  A theory in field theory is a specific, mathematically formulated model that assigns fields and their dynamics to spacetime, defining how physical quantities evolve and interact according to a chosen set of principles and equations.
• F. None of above.