arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1402.4151cond-mat.str-elhep-th
收藏

相互作用的拓扑超导体和标准模型中手征费米子$16n$的可能起源

Interacting Topological Superconductors and possible Origin of $16n$ Chiral Fermions in the Standard Model

Yi-Zhuang You, Yoni BenTov, Cenke Xu

摘要:

粒子物理学的标准模型(加上一个右手中微子)每代恰好有16个外尔费米子,我们的动机是寻找$(3+1)$维手征费米子理论和手征规范理论,当且仅当味道的数量是16的整数倍时,它们可以在三维空间晶格上正则化。所有这些结果都是基于这样的观察:局域相互作用将某些$(4+1)$维拓扑超导体的分类从$\mathbb{Z}$减少到$\mathbb{Z}_{8}$,这意味着当且仅当边界手征费米子的数目是$16$的整数倍时,它们的$(3+1)$维边界之一可以被相互作用隔开而不破坏任何对称性。

英文摘要:

Motivated by the observation that the Standard Model of particle physics (plus a right-handed neutrino) has precisely 16 Weyl fermions per generation, we search for $(3+1)$-dimensional chiral fermionic theories and chiral gauge theories that can be regularized on a 3 dimensional spatial lattice when and only when the number of flavors is an integral multiple of 16. All these results are based on the observation that local interactions reduce the classification of certain $(4+1)$-dimensional topological superconductors from $\mathbb{Z}$ to $\mathbb{Z}_{8}$, which means that one of their $(3+1)$-dimensional boundaries can be gapped out by interactions without breaking any symmetry when and only when the number of boundary chiral fermions is an integral multiple of $16$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑