Dimensional reduction as a method to obtain dual theories for massive spin two in arbitray dimensions

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dc.creatorKhoudeir, A.
dc.creatorMontemayor, R.
dc.creatorUrrutia, Luis F.
dc.date2008-06-27
dc.date2008-09-09
dc.date.accessioned2026-07-07T11:52:05Z
dc.date.available2026-07-07T11:52:05Z
dc.descriptionUsing the parent Lagrangian method together with a dimensional reduction from $D$ to $(D-1)$ dimensions we construct dual theories for massive spin two fields in arbitrary dimensions in terms of a mixed symmetry tensor $T_{A[A_{1}A_{2}... A_{D-2}]}$. Our starting point is the well studied massless parent action in dimension $D$. The resulting massive Stueckelberg-like parent actions in $(D-1)$ dimensions inherits all the gauge symmetries of the original massless action and can be gauge fixed in two alternative ways, yielding the possibility of having either a parent action with a symmetric or a non-symmetric Fierz-Pauli field $e_{AB}$. Even though the dual sector in terms of the standard spin two field includes only the symmetrical part $e_{\{AB\}}$ in both cases, these two possibilities yield different results in terms of the alternative dual field $T_{A[A_{1}A_{2}... A_{D-2}]}$. In particular, the non-symmetric case reproduces the Freund-Curtright action as the dual to the massive spin two field action in four dimensions.
dc.description14 pages, no figures, RevTex 4. Some clarifying comments and references have been added
dc.identifierhttps://arxiv.org/abs/0806.4558
dc.identifierhttp://arxiv.org/abs/0806.4558
dc.identifierPhys.Rev.D78:065041,2008
dc.identifierdoi:10.1103/PhysRevD.78.065041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204111
dc.subjectHigh Energy Physics - Theory
dc.titleDimensional reduction as a method to obtain dual theories for massive spin two in arbitray dimensions
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