$\mathcal{PT}$-Supersymmetric Square Well and Barrier

Koohrokhi, Taha

doi:10.48550/arxiv.2001.09418

Cited by 1 publication

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“…Eqs. (34) and (40). We note that the mass spectrum remains sensitive to the relative sign of the diagonal fermion mass terms also for the Hermitian mass mixing, such that the fermion phase rotation in Eq.…”

Section: B Superfield Representationmentioning

confidence: 96%

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PT -symmetric non-Hermitian quantum field theories with supersymmetry

2020

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We formulate supersymmetric non-Hermitian quantum field theories with PT symmetry, starting with free chiral boson/fermion models and then including trilinear superpotential interactions. We consider models with both Dirac and Majorana fermions, analyzing them in terms of superfields and at the component level. We also discuss the relation between the equations of motion, the (non-)invariance of the Lagrangian and the (non-)conservation of the supercurrents in the two models. We exhibit a similarity transformation that maps the free-field supersymmetric PT -symmetric Dirac model to a supersymmetric Hermitian theory, but there is in general no corresponding similarity transformation for the Majorana model. In this model we find generically a mass splitting between bosons and fermions, even though its construction is explicitly supersymmetric, offering a novel non-Hermitian mechanism for soft supersymmetry breaking. 1 The appearance of supersymmetry in a PT -symmetric quantum-mechanical model was discovered in Ref. [31]. Relations between Hermitian theories and PT -symmetric non-Hermitian theories have been derived in the framework of supersymmetric quantum mechanics [32], see Refs. [33, 34] and references therein.

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Section: B Superfield Representationmentioning

confidence: 96%

“…Relations between Hermitian theories and PT -symmetric non-Hermitian theories have been derived in the framework of supersymmetric quantum mechanics [32], see Refs. [33,34] and references therein.…”

Section: Introductionmentioning

confidence: 99%