Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory
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🧮 math-ph
hep-thmath.MPmath.OAmath.QA
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algebrasconformaleuclideanfieldminkowskiantheoryalgebraicapproach
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We review how modular categories, and commutative and non-commutative Frobenius algebras arise in rational conformal field theory. For Euclidean CFT we use an approach based on sewing of surfaces, and in the Minkowskian case we describe CFT by a net of operator algebras.
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