论文标题
具有超对称性
PT-Symmetric Non-Hermitian Quantum Field Theories with Supersymmetry
论文作者
论文摘要
我们使用PT对称性制定了超对称的非热量子场理论，从游离手性玻色子/费米子模型开始，然后包括三线性超势相互作用。我们考虑使用Dirac和Majorana Fermions的模型，以超级场地和组件级别进行分析。我们还讨论了运动方程，拉格朗日的（非）不变性和两个模型中超电流的（非）保护之间的关系。我们表现出相似性转化，该转化将自由场超对称PT对称的DIRAC模型映射到超对称的Hermitian理论，但通常没有对Majorana模型的相似性转换。在该模型中，我们发现玻色子和费米子之间的质量很大，即使其构造是明确的超对称性的，它提供了一种新型的非热机构，用于软超对称性破裂。
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.
