English

Conformal Nets Associated with Lattices and Their Orbifolds

Operator Algebras 2007-05-23 v2 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.math/0411499,
  title  = {Conformal Nets Associated with Lattices and Their Orbifolds},
  author = {Chongying Dong and Feng Xu},
  journal= {arXiv preprint arXiv:math/0411499},
  year   = {2007}
}

Comments

25 pages

R2 v1 2026-07-22T17:12:39.951Z