On dynamics of 5D superconformal theories

dc.creatorSmilga, A. V.
dc.date2006-02-20
dc.date.accessioned2026-07-07T11:59:23Z
dc.date.available2026-07-07T11:59:23Z
dc.description5D superconformal theories involve vacuum valleys characterized in the simplest case by the vacuum expectation value of a real scalar field. If it is nonzero, conformal invariance is spontaneously broken and the theory is not renormalizable. In the conformally invariant sector with zero scalar v.e.v., the theory is intrinsically nonperturbative. We study classical and quantum dynamics of this theory in the limit when field dependence of the spatial coordinates is disregarded. The classical trajectories ``fall'' on the singularity at the origin of scalar moduli space. The quantum spectrum involves ghost states with unbounded from below negative energies, but such states fail to form complete 16-plets as is dictated by the presence of four complex supercharges and should be rejected by that reason. Physical excited states come in supermultiplets and have all positive energies. We conjecture that the spectrum of the complete field theory hamiltonian is nontrivial and has a similar nontrivial ghost-free structure and also speculate that the ghosts in higher-derivative supersymmetric field theories are exterminated by a similar mechanism.
dc.description14 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/hep-th/0602201
dc.identifierhttp://arxiv.org/abs/hep-th/0602201
dc.identifierPhys.Atom.Nucl.70:960-968,2007
dc.identifierdoi:10.1134/S1063778807050183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206540
dc.subjectHigh Energy Physics - Theory
dc.titleOn dynamics of 5D superconformal theories
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