A modification of Khoruzhii's method is formulated for a system of Whiteman fields of arbitrary spin, which enables one to use the modular Tomita-Takesaki theory to put the Whiteman fields into correspondence with local von Neumann field algebras without imposing additional conditions on the fields. This provides a network of von Neumann algebras for fields of any spin that satisfies all the axioms in the algebraic approach, including the axiom of locality in the generalized form of locality with torsion.
Department of Quantum Statistics and Field Theory, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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