Geometric Modular Action and Spacetime Symmetry Groups

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dc.creatorBuchholz, Detlev
dc.creatorDreyer, Olaf
dc.creatorFlorig, Martin
dc.creatorSummers, Stephen J.
dc.date1998-05-28
dc.date1998-06-08
dc.date.accessioned2026-07-07T04:32:24Z
dc.date.available2026-07-07T04:32:24Z
dc.descriptionA condition of geometric modular action is proposed as a selection principle for physically interesting states on general space-times. This condition is naturally associated with transformation groups of partially ordered sets and provides these groups with projective representations. Under suitable additional conditions, these groups induce groups of point transformations on these space-times, which may be interpreted as symmetry groups. The consequences of this condition are studied in detail in application to two concrete space-times -- four-dimensional Minkowski and three-dimensional de Sitter spaces -- for which it is shown how this condition characterizes the states invariant under the respective isometry group. An intriguing new algebraic characterization of vacuum states is given. In addition, the logical relations between the condition proposed in this paper and the condition of modular covariance, widely used in the literature, are completely illuminated.
dc.description83 pages, AMS-TEX (format changed to US letter size)
dc.identifierhttps://arxiv.org/abs/math-ph/9805026
dc.identifierhttp://arxiv.org/abs/math-ph/9805026
dc.identifierRev.Math.Phys. 12 (2000) 475-560
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58180
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleGeometric Modular Action and Spacetime Symmetry Groups
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