On SU(2) Anomaly and Majorana Fermions

[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.

[学科分类] 凝聚态物理

[关键词] Witten anomaly;Weyl fermion;Majorana zeromodes;topological phases