Non-Abelian statistics versus the Witten anomaly
This paper is motivated by prospects for non-Abelian statistics of deconfined particlelike objects in 3+1 dimensions, realized as solitons with localized Majorana zero modes. To this end, we study the fermionic collective coordinates of magnetic monopoles in 3+1-dimensional spontaneously-broken SU(2...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society,
2012-01-25T20:24:22Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | This paper is motivated by prospects for non-Abelian statistics of deconfined particlelike objects in 3+1 dimensions, realized as solitons with localized Majorana zero modes. To this end, we study the fermionic collective coordinates of magnetic monopoles in 3+1-dimensional spontaneously-broken SU(2) gauge theories with various spectra of fermions. We argue that a single Majorana zero mode of the monopole is not compatible with cancellation of the Witten SU(2) anomaly. We also compare this approach with other attempts to realize deconfined non-Abelian objects in 3+1 dimensions. United States. Dept. of Energy (cooperative research agreement DE-FG0205ER41360) Alfred P. Sloan Foundation |
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