Algebraic orbifold conformal field theories
Copyright policy )Algebraic orbifold conformal field theories
The unitary rational orbifold conformal field theories in the algebraic quantum field theory and subfactor theory framework are formulated. Under general conditions, it is shown that the orbifold of a given unitary rational conformal field theory generates a unitary modular category. Many new unitary modular categories are obtained. It is also shown that the irreducible representations of orbifolds of rank one lattice vertex operator algebras give rise to unitary modular categories and determine the corresponding modular matrices, which has been conjectured for some time.
- University of California System United States
- University of California, Riverside United States
Operator algebra methods applied to problems in quantum theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Mathematics - Operator Algebras, unitary rational conformal field theory, FOS: Physical sciences, Geometric Topology (math.GT), Mathematical Physics (math-ph), rank one lattice vertex operator algebras, Axiomatic quantum field theory; operator algebras, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, unitary modular category, Mathematics - Geometric Topology, Applications of selfadjoint operator algebras to physics, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Operator Algebras (math.OA), Mathematical Physics, irreducible representations of orbifolds
Operator algebra methods applied to problems in quantum theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Mathematics - Operator Algebras, unitary rational conformal field theory, FOS: Physical sciences, Geometric Topology (math.GT), Mathematical Physics (math-ph), rank one lattice vertex operator algebras, Axiomatic quantum field theory; operator algebras, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, unitary modular category, Mathematics - Geometric Topology, Applications of selfadjoint operator algebras to physics, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Operator Algebras (math.OA), Mathematical Physics, irreducible representations of orbifolds
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