On SU(2) Anomaly and Majorana Fermions

Condensed Matter

Patrascu, Andrei¹ 

关键词: Witten anomaly;    Weyl fermion;    Majorana zeromodes;    topological phases;   

DOI  :  10.3390/condmat2020013

学科分类：凝聚态物理

来源: mdpi

【 摘 要 】

In this paper, a loophole in the S U ( 2 ) gauge anomaly is presented. It is shown that using several topological tools, a theory can be designed that implements the quantization of a single Weyl doublet anomaly free while keeping the non-abelian character of the particle in the theory. This opens the perspective for non-Abelian statistics of deconfined particle like objects in 3 + 1 dimensions and for applications in quantum computing. Moreover, if this loophole cannot be closed, old arguments related to anomaly cancellations must be reviewed.

【 授权许可】

CC BY