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arXiv 2001.11996hep-thhep-ph
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具有超对称性的PT对称非厄米量子场论

PT-Symmetric Non-Hermitian Quantum Field Theories with Supersymmetry

Jean Alexandre, John Ellis, Peter Millington

备注：
23 pages, revtex format; to match published version
发表信息：
Phys. Rev. D 101, 085015 (2020)
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摘要：

从自由手征玻色子/费米子模型出发，然后包括三线性超势相互作用，我们建立了具有PT对称性的超对称非厄米量子场论。我们认为狄拉克和马约拉纳费米子的模型，分析它们的超场和组件的水平。讨论了两种模型中运动方程、拉格朗日量的（非）不变性和超流的（非）守恒性之间的关系。我们展示了一个相似变换，映射的自由场超对称PT对称狄拉克模型的超对称厄米特理论，但在一般情况下，没有相应的相似变换的马约拉纳模型。在这个模型中，我们发现一般玻色子和费米子之间的质量分裂，即使它的结构是明确的超对称，软超对称破缺提供了一个新的非厄米机制。

英文摘要：

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.

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