13 research outputs found
Gravitational cubic interactions for a massive mixed symmetry gauge field
In a recent paper arXiv:1107.1872 cubic gravitational interactions for a
massless mixed symmetry field in AdS space have been constructed. In the
current paper we extend these results to the case of massive field. We work in
a Fradkin-Vasiliev approach and use frame-like gauge invariant description for
massive field which works in (A)dS spaces with arbitrary values of cosmological
constant including flat Minkowski space. In this, massless limit in AdS space
coincides with the results of arXiv:1107.1872 while we show that it is
impossible to switch on gravitational interaction for massless field in dS
space.Comment: 13 page
Mixed-symmetry massive fields in AdS(5)
Free mixed-symmetry arbitrary spin massive bosonic and fermionic fields
propagating in AdS(5) are investigated. Using the light-cone formulation of
relativistic dynamics we study bosonic and fermionic fields on an equal
footing. Light-cone gauge actions for such fields are constructed. Various
limits of the actions are discussed.Comment: v3: 24 pages, LaTeX-2e; typos corrected, footnote 7 and 2 references
added, published in Class. Quantum Gra
6d conformal gravity
In the framework of ordinary-derivative approach, conformal gravity in
space-time of dimension six is studied. The field content, in addition to
conformal graviton field, includes two auxiliary rank-2 symmetric tensor
fields, two Stueckelberg vector fields and one Stueckelberg scalar field. Gauge
invariant Lagrangian with conventional kinetic terms and the corresponding
gauge transformations are obtained. One of the rank-2 tensor fields and the
scalar field have canonical conformal dimension. With respect to these fields,
the Lagrangian contains, in addition to other terms, a cubic potential. Gauging
away the Stueckelberg fields and excluding the auxiliary fields via equations
of motion, the higher-derivative Lagrangian of 6d conformal gravity is
obtained. The higher derivative Lagrangian involves quadratic and cubic
curvature terms. This higher-derivative Lagrangian coincides with the simplest
Weyl invariant density discussed in the earlier literature. Generalization of
de Donder gauge conditions to 6d conformal fields is also obtained.Comment: 31 pages, LaTeX-2e, v3: Footnotes 8,9,13, clarifying remark below
Eq.(2.30), and references added. Misprints correcte