The Quantum 3D Superparticle
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146793 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Quantum 3D Superparticle / L. Mezincescu, P.K. Townsend // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862609030194659328 |
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| author | Mezincescu, L. Townsend, P.K. |
| author_facet | Mezincescu, L. Townsend, P.K. |
| citation_txt | The Quantum 3D Superparticle / L. Mezincescu, P.K. Townsend // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-28T18:44:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146793 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T18:44:07Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mezincescu, L. Townsend, P.K. 2019-02-11T15:18:31Z 2019-02-11T15:18:31Z 2011 The Quantum 3D Superparticle / L. Mezincescu, P.K. Townsend // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81Q60 DOI:10.3842/SIGMA.2011.005 https://nasplib.isofts.kiev.ua/handle/123456789/146793 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Quantum 3D Superparticle Article published earlier |
| spellingShingle | The Quantum 3D Superparticle Mezincescu, L. Townsend, P.K. |
| title | The Quantum 3D Superparticle |
| title_full | The Quantum 3D Superparticle |
| title_fullStr | The Quantum 3D Superparticle |
| title_full_unstemmed | The Quantum 3D Superparticle |
| title_short | The Quantum 3D Superparticle |
| title_sort | quantum 3d superparticle |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146793 |
| work_keys_str_mv | AT mezincescul thequantum3dsuperparticle AT townsendpk thequantum3dsuperparticle AT mezincescul quantum3dsuperparticle AT townsendpk quantum3dsuperparticle |