Hidden supersymmetry of a $P,T-$invariant $3D$ fermion system

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dc.creatorPlyushchay, Mikhail
dc.creatorSodano, Pasquale
dc.date1995-11-04
dc.date.accessioned2026-07-07T04:21:36Z
dc.date.available2026-07-07T04:21:36Z
dc.descriptionWe show that a (2+1)-dimensional $P,T-$invariant free fermion system, relevant to $P,T-$conserving models of high-$T_c$ superconductivity, has a U(1,1) dynamical symmetry as well as an $N=3$ supersymmetry with the even generator being a quadratic function of the spin operator and of the generator of chiral ${\rm U_c(1)}$ transformations. We demonstrate that the hidden supersymmetry leads to a non-standard superextension of the (2+1)-dimensional Poincaré group. As a result, the one particle states of the $P,T-$invariant fermion system realize an irreducible representation of the Poincaré supergroup labelled by the zero eigenvalue of the superspin operator.
dc.description8 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9511028
dc.identifierhttp://arxiv.org/abs/hep-th/9511028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54387
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Phenomenology
dc.titleHidden supersymmetry of a $P,T-$invariant $3D$ fermion system
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