一维分形排斥和辫子统计：Chern-Simons理论降维研究
Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory
摘要：
辫子和排斥统计之间的关系，检查在一维系统中，在框架内的Chern-Simons统计嬗变的规范不变的形式与适当的降维。如果物质的作用是反常的，如手征费米子，辫子和排斥统计之间的关系可以明确地建立在相互和非相互的情况下。然而，如果它不是反常的，那么出现的低能激发的不相容统计不一定与系统的物理带电场的辫状统计相联系。最后，我们还讨论了一维任意子系统通过T-对偶的玻色化。
英文摘要：
The relation between braid and exclusion statistics is examined in one-dimensional systems, within the framework of Chern-Simons statistical transmutation in gauge invariant form with an appropriate dimensional reduction. If the matter action is anomalous, as for chiral fermions, a relation between braid and exclusion statistics can be established explicitly for both mutual and nonmutual cases. However, if it is not anomalous, the exclusion statistics of emergent low energy excitations is not necessarily connected to the braid statistics of the physical charged fields of the system. Finally, we also discuss the bosonization of one-dimensional anyonic systems through T-duality.
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