Covariant Sectors with Infinite Dimension and Positivity of the Energy

Details Covariant Sectors with Infinite Dimension and Positivity of the Energy Covariant Sectors with Infinite Dimension and Positivity of the Energy

1997-04-23

arxiv.org/abs/funct-an/9704007v1

Commun.Math.Phys.141:471-492,1998

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, Latex2e

Scientific paper

10.1007/s002200050337

We consider a Moebius covariant sector, possibly with infinite dimension, of a local conformal net of von Neumann algebras on the circle. If the sector has finite index, it has automatically positive energy. In the infinite index case, we show the spectrum of the energy always to contain the positive real line, but, as seen by an example, it may contain negative values. We then consider nets with Haag duality on the real line, or equivalently sectors with non-solitonic extension to the dual net; we give a criterion for irreducible sectors to have positive energy, namely this is the case iff there exists an unbounded Moebius covariant left inverse. As a consequence the class of sectors with positive energy is stable under composition, conjugation and direct integral decomposition.

Affiliated with

Also associated with

No associations

Rating

Covariant Sectors with Infinite Dimension and Positivity of the Energy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Covariant Sectors with Infinite Dimension and Positivity of the Energy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Covariant Sectors with Infinite Dimension and Positivity of the Energy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-529470