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The Quantum 3D Superparticle
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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| dc.contributor.author | Mezincescu, L. | |
| dc.contributor.author | Townsend, P.K. | |
| dc.date.accessioned | 2019-02-11T15:18:31Z | |
| dc.date.available | 2019-02-11T15:18:31Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | The Quantum 3D Superparticle / L. Mezincescu, P.K. Townsend // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 21 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 81Q60 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2011.005 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146793 | |
| dc.description.abstract | The minimal (N=1) superparticle in three spacetime dimensions (3D) is quantized. For non-zero mass it describes a spin-1/4 semion supermultiplet of ''relativistic helicities'' (−1/4,1/4). The addition of a parity-violating Lorentz-Wess-Zumino term shifts this to (β−1/4,β+1/4) for arbitrary β. For zero mass, in which case spin is not defined, the quantum superparticle describes a supermultiplet of one boson and one fermion. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (July 18–30, 2010, Benasque, Spain). The full collection is available at http://www.emis.de/journals/SIGMA/SUSYQM2010.html. We thank the Benasque center for Science for a stimulating environment. LM acknowledges partial support from National Science Foundation Award 0855386. PKT thanks the EPSRC for financial support and the Department of Physics at the University of Barcelona for hospitality. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | The Quantum 3D Superparticle | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
