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Bound states of three fermions forming symmetry-protected topological phases

机译：形成对称保护拓扑相的三个费米子的束缚态

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We propose a simple theoretical construction of certain short-range entangled phases of interacting fermions, by putting the bound states of three fermions (which we refer to as clustons) into topological bands. We give examples in two and three dimensions, and show that they are distinct from any free fermion state. We further argue that these states can be viewed as combinations of certain free fermion topological states and bosonic symmetry-protected topological (SPT) states. This provides a conceptually simple understanding of various SPT phases, and the possibility of realizing them in cold atom systems. New parton constructions of these SPT phases in purely bosonic systems are proposed. We also discuss a related anomaly in two dimensional Dirac theories, which is the gravitational analog of the parity anomaly.
机译：通过将三个费米子的束缚态（我们称为cluston）置于拓扑带中，我们提出了相互作用费米子的某些短程纠缠相的简单理论构造。我们在二维和三维中给出示例，并表明它们与任何自由费米子状态都不同。我们进一步认为，这些状态可以看作是某些自由费米子拓扑状态和玻色子对称保护拓扑（SPT）状态的组合。这从概念上提供了对各种SPT相的简单理解，以及在冷原子系统中实现它们的可能性。提出了纯玻色子系统中这些SPT相的新的parton结构。我们还将在二维狄拉克理论中讨论一个相关的异常，这是奇偶异常的引力类似物。

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