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arxiv: 1305.1792 · v3 · pith:BNSCN2MYnew · submitted 2013-05-08 · 🧮 math-ph · cond-mat.mes-hall· hep-th· math.MP· quant-ph

Reflection Positivity for Majoranas

classification 🧮 math-ph cond-mat.mes-hallhep-thmath.MPquant-ph
keywords majoranaspositivityreflectioncertainhamiltoniansassociatedclassconstants
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We establish reflection positivity for Gibbs trace states defined by a certain class of Hamiltonians that describe the interaction of Majoranas on a lattice. These Hamiltonians may include many-body interactions, as long as the signs of the associated coupling constants satisfy certain restrictions. We show that reflection positivity holds on an even subalgebra of Majoranas.

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