Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times

Details Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times

2000-11-27

arxiv.org/abs/hep-th/0011237v2

Mathematical physics in mathematics and physics (Siena, 2000), 65--81, Fields Inst. Commun. 30, Amer. Math. Soc., Providence,

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 figure, v2: minor changes in the wording

Scientific paper

A novel method of transplanting algebras of observables from de Sitter space to a large class of Robertson-Walker space-times is exhibited. It allows one to establish the existence of an abundance of local nets on these spaces which comply with a recently proposed condition of geometric modular action. The corresponding modular symmetry groups appearing in these examples also satisfy a condition of modular stability, which has been suggested as a substitute for the requirement of positivity of the energy in Minkowski space. Moreover, they exemplify the conjecture that the modular symmetry groups are generically larger than the isometry and conformal groups of the underlying space-times.

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