Modular Conjugation and the Implementation of Supersymmetry

dc.creatorStoytchev, Orlin
dc.date2006-08-17
dc.date.accessioned2026-07-07T10:26:10Z
dc.date.available2026-07-07T10:26:10Z
dc.descriptionAny Z_2-graded C*-dynamical system with a self-adjoint graded-KMS functional on it can be represented (canonically) as a Z_2-graded algebra of bounded operators on a Z_2-graded Hilbert space, so that the grading of the latter is compatible with the functional. The modular conjugation operator plays a crucial role in this reconstruction. The results are generalized to the case of an unbounded graded-KMS functional having as dense domain the union of a net of C*-subalgebras. It is shown that the modulus of such an unbounded graded-KMS functional is KMS.
dc.identifierhttps://arxiv.org/abs/math-ph/0608044
dc.identifierhttp://arxiv.org/abs/math-ph/0608044
dc.identifierLett.Math.Phys.79:235-249,2007
dc.identifierdoi:10.1007/s11005-006-0132-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176786
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subject46L55; 46L87; 81T05
dc.titleModular Conjugation and the Implementation of Supersymmetry
dc.typetext

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