The Quantum 3D Superparticle

dc.contributor.authorMezincescu, L.
dc.contributor.authorTownsend, P.K.
dc.date.accessioned2019-02-11T15:18:31Z
dc.date.available2019-02-11T15:18:31Z
dc.date.issued2011
dc.description.abstractThe 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.sponsorshipThis 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.identifier.citationThe 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81Q60
dc.identifier.otherDOI:10.3842/SIGMA.2011.005
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146793
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleThe Quantum 3D Superparticleuk_UA
dc.typeArticleuk_UA

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