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Modular Conjugation and the Implementation of Supersymmetry

Orlin Stoytchev
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Abstract

Any 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.

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Orlin Stoytchev. 2006-08-17. Modular Conjugation and the Implementation of Supersymmetry. https://doi.org/10.1007/s11005-006-0132-0

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