2000/04/24 by Feng Xu · 1 citation
Mathematics · Physics and Astronomy · #math.QA #math-ph #math.GT #math.MP #math.OA
paper · pdf · doi:10.1073/pnas.260375597
24 pages, Amstex
arxiv created 2000/04/24 · arxiv updated 2009/11/30
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.