Singleton field theory and Flato - Fronsdal dipole equation

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dc.creatorStarinets, Andrei
dc.date1998-09-16
dc.date1999-09-23
dc.date.accessioned2026-07-07T04:32:32Z
dc.date.available2026-07-07T04:32:32Z
dc.descriptionWe study solutions of the equations $(\triangle -λ)ϕ= 0$ and $(\triangle -λ)^2ϕ= 0$ in global coordinates on the covering space $CAdS_d$ of the $d$-dimensional Anti de-Sitter space subject to various boundary conditions and their connection to the unitary irreducible representations of $\widetilde{SO}(d-1,2)$. The ``vanishing flux'' boundary conditions at spatial infinity lead to the standard quantization scheme for $CAdS_d$ in which solutions of the second- and the fourth-order equations are equivalent. To include fields realizing the singleton unitary representation in the bulk of $CAdS_d$ one has to relax the boundary conditions thus allowing for the nontrivial space of solutions of the dipole equation known as the Gupta - Bleuler triplet. We obtain explicit expressions for the modes of the Gupta - Bleuler triplet and the corresponding two-point function. To avoid negative-energy states one must also introduce an additional constraint in the space of solutions of the dipole equation.
dc.description25 pages, 2 figures; significant changes
dc.identifierhttps://arxiv.org/abs/math-ph/9809014
dc.identifierhttp://arxiv.org/abs/math-ph/9809014
dc.identifierLett.Math.Phys. 50 (1999) 283-300
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58222
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject81R05;81R20
dc.titleSingleton field theory and Flato - Fronsdal dipole equation
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