13 research outputs found
BRST approach to Lagrangian formulation of bosonic totally antisymmeric tensor fields in curved space
We apply the BRST approach, previously developed for higher spin field
theories, to gauge invariant Lagrangian construction for antisymmetric massive
and massless bosonic fields in arbitrary d-dimensional curved space. The
obtained theories are reducible gauge models both in massless and massive cases
and the order of reducibility grows with the value of the rank of the
antisymmetric field. In both the cases the Lagrangians contain the sets of
auxiliary fields and possess more rich gauge symmetry in comparison with
standard Lagrangian formulation for the antisymmetric fields. This serves
additional demonstration of universality of the BRST approach for Lagrangian
constructions in various field models.Comment: 12 page
Conformal self-dual fields
Conformal self-dual fields in flat space-time of even dimension greater than
or equal to four are studied. Ordinary-derivative formulation of such fields is
developed. Gauge invariant Lagrangian with conventional kinetic terms and
corresponding gauge transformations are obtained. Gauge symmetries are realized
by involving the Stueckelberg fields. Realization of global conformal
symmetries is obtained. Light-cone gauge Lagrangian is found. Also, we
demonstrate use of the light-cone gauge for counting of on-shell degrees of
freedom of the conformal self-dual fields.Comment: 28 pages, LaTeX-2e, v3: Discussion of realization of conformal
algebra symmetries on field strengths added to Sections 3,5. Appendices B,C,D
and one reference added. Typos correcte
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