Modular Conjugation and the Implementation of Supersymmetry
Mathematical Physics
2008-11-26 v1 math.MP
Operator Algebras
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.
Cite
@article{arxiv.math-ph/0608044,
title = {Modular Conjugation and the Implementation of Supersymmetry},
author = {Orlin Stoytchev},
journal= {arXiv preprint arXiv:math-ph/0608044},
year = {2008}
}