Construction of holomorphic local conformal framed nets
Mathematical Physics
2014-08-22 v1 math.MP
Operator Algebras
Quantum Algebra
Abstract
We construct holomorphic local conformal framed nets extended from a tensor power of the Virasoro net with c=1/2 with a pair of binary codes (C,D) satisfying the conditions given by Lam and Yamauchi for holomorphic framed vertex operator algebras. Our result is an operator algebraic counterpart of theirs, but our proof is entirely different. We apply the alpha-induction in order to identify the representation theory of "code local conformal net" and this gives rise to the existence of the desired local conformal net.
Cite
@article{arxiv.1212.3771,
title = {Construction of holomorphic local conformal framed nets},
author = {Yasuyuki Kawahigashi and Noppakhun Suthichitranont},
journal= {arXiv preprint arXiv:1212.3771},
year = {2014}
}