Hidden nonlinear su(2|2) superunitary symmetry of N=2 superextended 1D Dirac delta potential problem

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dc.creatorCorrea, Francisco
dc.creatorNieto, Luis-Miguel
dc.creatorPlyushchay, Mikhail S.
dc.date2007-07-10
dc.date2008-01-10
dc.date.accessioned2026-07-07T11:17:40Z
dc.date.available2026-07-07T11:17:40Z
dc.descriptionWe show that the N=2 superextended 1D quantum Dirac delta potential problem is characterized by the hidden nonlinear $su(2|2)$ superunitary symmetry. The unexpected feature of this simple supersymmetric system is that it admits three different $\mathbb Z_2$-gradings, which produce a separation of 16 integrals of motion into three different sets of 8 bosonic and 8 fermionic operators. These three different graded sets of integrals generate two different nonlinear, deformed forms of $su(2|2)$, in which the Hamiltonian plays a role of a multiplicative central charge. On the ground state, the nonlinear superalgebra is reduced to the two distinct 2D Euclidean analogs of a superextended Poincaré algebra used earlier in the literature for investigation of spontaneous supersymmetry breaking. We indicate that the observed exotic supersymmetric structure with three different $\mathbb Z_2$-gradings can be useful for the search of hidden symmetries in some other quantum systems, in particular, related to the Lamé equation.
dc.description11 pages; comments and refs. added, version published in PLB
dc.identifierhttps://arxiv.org/abs/0707.1393
dc.identifierhttp://arxiv.org/abs/0707.1393
dc.identifierPhys.Lett.B659:746-753,2008
dc.identifierdoi:10.1016/j.physletb.2007.11.046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193087
dc.subjectHigh Energy Physics - Theory
dc.titleHidden nonlinear su(2|2) superunitary symmetry of N=2 superextended 1D Dirac delta potential problem
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