An algebraic condition for the Bisognano-Wichmann Property
Mathematical Physics
2016-04-19 v1 math.MP
Operator Algebras
Abstract
The Bisognano-Wichmann property for local, Poincar\'e covariant nets of standard subspaces is discussed. We present a sufficient algebraic condition on the covariant representation ensuring Bisognano-Wichmann and Duality properties without further assumptions on the net. Our modularity condition holds for direct integrals of scalar massive and massless representations. We conclude that in these cases the Bisognano-Wichmann property is much weaker than the Split property. Furthermore, we present a class of massive modular covariant nets not satisfying the Bisognano-Wichmann property.
Keywords
Cite
@article{arxiv.1604.04750,
title = {An algebraic condition for the Bisognano-Wichmann Property},
author = {Vincenzo Morinelli},
journal= {arXiv preprint arXiv:1604.04750},
year = {2016}
}
Comments
Invited contribution to the Proceedings of the 14th Marcel Grossmann Meeting - MG14 (Rome, 2015)