Conformal Nets Associated with Lattices and Their Orbifolds

Details Conformal Nets Associated with Lattices and Their Orbifolds Conformal Nets Associated with Lattices and Their Orbifolds

2004-11-22

arxiv.org/abs/math/0411499v2

Mathematics

Operator Algebras

25 pages

Scientific paper

In this paper we study representations of conformal nets associated with
positive definite even lattices and their orbifolds with respect to isometries
of the lattices. Using previous general results on orbifolds, we give a list of
all irreducible representations of the orbifolds, which generate a unitary
modular tensor category.

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