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Algebra of Majorana Doubling

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arxiv 1307.3245 v2 pith:5XRZD3LL submitted 2013-07-11 cond-mat.supr-con cond-mat.mes-hallhep-thquant-ph

Algebra of Majorana Doubling

Jaehoon Lee , Frank Wilczek This is my paper
classification cond-mat.supr-con cond-mat.mes-hallhep-thquant-ph
keywords modeoperatorscreationmajoranaalgebraalgebraicanalyzebasic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator is highly non-linear in the original effective mode operators, and therefore also in the underlying electron creation and destruction operators. This phenomenon could open up new possibilities for controlled dynamical manipulation of the modes. We briefly compare and contrast related issues in the Pfaffian quantum Hall state.

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  1. Disjoint additivity and local quantum physics

    hep-th 2025-09 conditional novelty 7.0

    Local quantum systems should obey disjoint additivity plus Haag duality, a combination that survives higher-form symmetries and fails for known nonlocal constructions.