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 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 dimensions and for applications in quantum computing. Moreover, if this loophole cannot be closed, old arguments related to anomaly cancellations must be reviewed.
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Keywords:
Witten anomaly; Weyl fermion; Majorana zeromodes; topological phases
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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 StylePatrascu, 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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