Gauge interactions and topological phases of matter
Gauge interactions and topological phases of matter
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DOI：
10.1093/ptep/ptw131
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发表时间：
2016-04
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影响因子：
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通讯作者：
Yuji Tachikawa;Kazuya Yonekura
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文献类型：
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作者：
Yuji Tachikawa;Kazuya Yonekura
我们开始研究强耦合规范相互作用对物质拓扑相性质的影响。特别是，我们讨论了三个空间维度的费米子系统，保护时间反演对称性。我们首先推导出一个充分条件的动力学杨-米尔斯场的引入，以保持物质的拓扑相位，然后显示如何在红外线的无质量的π介子捕获的拓扑性质的费米子在紫外线。最后，我们利用N =2的超对称SU（2）规范理论的S对偶性，证明了Majorana费米子的16相可以连续地与平凡0相相连.
We initiate the study of the effects of strongly-coupled gauge interactions on the properties of the topological phases of matter. In particular, we discuss fermionic systems with three spatial dimensions, protected by time reversal symmetry. We first derive a sufficient condition for the introduction of a dynamical Yang-Mills field to preserve the topological phase of matter, and then show how the massless pions capture in the infrared the topological properties of the fermions in the ultraviolet. Finally, we use the S-duality of ${\mathcal N}=2$ supersymmetric $SU(2)$ gauge theory with $N_f{=}4$ flavors to show that the $\nu{=}16$ phase of Majorana fermions can be continuously connected to the trivial $\nu{=}0$ phase.