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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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Інститут математики НАН України
2011
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146793 |
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irk-123456789-1467932019-02-12T01:25:09Z The Quantum 3D Superparticle Mezincescu, L. Townsend, P.K. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146793 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| 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. |
| format |
Article |
| author |
Mezincescu, L. Townsend, P.K. |
| spellingShingle |
Mezincescu, L. Townsend, P.K. The Quantum 3D Superparticle Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Mezincescu, L. Townsend, P.K. |
| author_sort |
Mezincescu, L. |
| title |
The Quantum 3D Superparticle |
| title_short |
The Quantum 3D Superparticle |
| title_full |
The Quantum 3D Superparticle |
| title_fullStr |
The Quantum 3D Superparticle |
| title_full_unstemmed |
The Quantum 3D Superparticle |
| title_sort |
quantum 3d superparticle |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146793 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT mezincescul thequantum3dsuperparticle AT townsendpk thequantum3dsuperparticle AT mezincescul quantum3dsuperparticle AT townsendpk quantum3dsuperparticle |
| first_indexed |
2023-05-20T17:25:41Z |
| last_indexed |
2023-05-20T17:25:41Z |
| _version_ |
1796153268808712192 |