Algebraic orbifold conformal field theories

Details Algebraic orbifold conformal field theories Algebraic orbifold conformal field theories

2000-04-24

arxiv.org/abs/math/0004150v1

Mathematics

Quantum Algebra

24 pages, Amstex

Scientific paper

10.1073/pnas.260375597

We formulate the unitary rational orbifold conformal field theories in the algebraic quantum field theory framework. Under general conditions, we show that the orbifold of a given unitary rational conformal field theories generates a unitary modular category. Many new unitary modular categories are obtained. We also show 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.

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