论文标题
宽大的手性费米子
Gapped Chiral Fermions
论文作者
论文摘要
原则上，没有障碍来保留任何没有hooft异常的全球对称性。实际上，保留以手性方式实现在费米子上的对称性需要超越简单二次质量术语的动态。我们展示了如何使用有关超对称仪表理论的熟悉结果，尤其是没有手性对称性破坏的限制现象。我们提出了简单的模型，这些模型在保留对称群体的同时散布了fermions，它们会在该群体中转换为手性表示。例如，我们展示了如何差距一组4D费米子的集合，这些收集载有一代标准模型的量子数，但不会破坏电子对称性。我们进一步展示了如何在16个组中缝制费米子，同时保留某些表现出MOD 16异常的离散对称性。
In principle, there is no obstacle to gapping fermions preserving any global symmetry that does not suffer a 't Hooft anomaly. In practice, preserving a symmetry that is realised on fermions in a chiral manner necessitates some dynamics beyond simple quadratic mass terms. We show how this can be achieved using familiar results about supersymmetric gauge theories and, in particular, the phenomenon of confinement without chiral symmetry breaking. We present simple models that gap fermions while preserving a symmetry group under which they transform in chiral representations. For example, we show how to gap a collection of 4d fermions that carry the quantum numbers of one generation of the Standard Model, but without breaking electroweak symmetry. We further show how to gap fermions in groups of 16 while preserving certain discrete symmetries that exhibit a mod 16 anomaly.
