Geometric modular action for disjoint intervals and boundary conformal field theory
Mathematical Physics
2010-04-29 v2 High Energy Physics - Theory
math.MP
Abstract
In suitable states, the modular group of local algebras associated with unions of disjoint intervals in chiral conformal quantum field theory acts geometrically. We translate this result into the setting of boundary conformal QFT and interpret it as a relation between temperature and acceleration. We also discuss aspects ("mixing" and "charge splitting") of geometric modular action for unions of disjoint intervals in the vacuum state.
Keywords
Cite
@article{arxiv.0912.1106,
title = {Geometric modular action for disjoint intervals and boundary conformal field theory},
author = {Roberto Longo and Pierre Martinetti and Karl-Henning Rehren},
journal= {arXiv preprint arXiv:0912.1106},
year = {2010}
}
Comments
Dedicated to John E. Roberts on the occasion of his 70th birthday; 24 pages, 3 figures