Ground state representations of some non-rational conformal nets
Mathematical Physics
2018-09-20 v2 math.MP
Operator Algebras
Representation Theory
Abstract
We construct families of ground state representations of the U(1)-current net and of the Virasoro nets Vir_c with central charge c >= 1. We show that these representations are not covariant with respect to the original dilations, and those on the U(1)-current net are not solitonic. Furthermore, by going to the dual net with respect to the ground state representations of Vir_c, we obtain a possibly new family of M\"obius covariant nets on S^1.
Keywords
Cite
@article{arxiv.1807.11723,
title = {Ground state representations of some non-rational conformal nets},
author = {Yoh Tanimoto},
journal= {arXiv preprint arXiv:1807.11723},
year = {2018}
}
Comments
15 pages, 1 TikZ figure