On SU(2) Anomaly and Majorana Fermions

Patrascu, Andrei

doi:10.3390/condmat2020013

Volume 2, Issue 2

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Condens. Matter 2017, 2(2), 13; https://doi.org/10.3390/condmat2020013

On SU(2) Anomaly and Majorana Fermions

Andrei Patrascu

Department of Physics and Astronomy, University College London, London WC1E 6BT, UK

Academic Editor: Antonio Bianconi

Received: 27 January 2017 / Revised: 26 March 2017 / Accepted: 5 April 2017 / Published: 7 April 2017

Full-Text | PDF [393 KB, uploaded 9 April 2017]

Abstract

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

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).