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Open AccessArticle

On SU(2) Anomaly and Majorana Fermions

Department of Physics and Astronomy, University College London, London WC1E 6BT, UK
Academic Editor: Antonio Bianconi
Condens. Matter 2017, 2(2), 13; https://doi.org/10.3390/condmat2020013
Received: 27 January 2017 / Revised: 26 March 2017 / Accepted: 5 April 2017 / Published: 7 April 2017
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. View Full-Text
Keywords: Witten anomaly; Weyl fermion; Majorana zeromodes; topological phases Witten anomaly; Weyl fermion; Majorana zeromodes; topological phases
MDPI and ACS Style

Patrascu, A. On SU(2) Anomaly and Majorana Fermions. Condens. Matter 2017, 2, 13. https://doi.org/10.3390/condmat2020013

AMA Style

Patrascu A. On SU(2) Anomaly and Majorana Fermions. Condensed Matter. 2017; 2(2):13. https://doi.org/10.3390/condmat2020013

Chicago/Turabian Style

Patrascu, Andrei. 2017. "On SU(2) Anomaly and Majorana Fermions" Condens. Matter 2, no. 2: 13. https://doi.org/10.3390/condmat2020013

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