Article

# Consistent deformations of dual formulations of linearized gravity: A no-go result

(Impact Factor: 4.86). 10/2002; DOI: 10.1103/PhysRevD.67.044010
Source: arXiv

ABSTRACT The consistent, local, smooth deformations of the dual formulation of linearized gravity involving a tensor field in the exotic representation of the Lorentz group with Young symmetry type (D-3,1) (one column of length D-3 and one column of length 1) are systematically investigated. The rigidity of the Abelian gauge algebra is first established. We next prove a no-go theorem for interactions involving at most two derivatives of the fields. Comment: Reference added. Version to appear in Phys. Rev. D

0 Bookmarks
·
72 Views
• Source
##### Article: IIB Supergravity and the E6(6) covariant vector-tensor hierarchy
[Hide abstract]
ABSTRACT: IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional `dual graviton'. The invariant E6(6) symmetric tensor that appears in the vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the vector fields, as well as consistent expressions for the USp(8) covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.
• Source
##### Article: TDiff and Weyl Invariant Massive Spin-2: Linear Theory
[Hide abstract]
ABSTRACT: We use Kaluza-Klein reduction to construct flat-space massive spin-2 Lagrangians based on a kinetic term that has local Weyl and transverse-diffeomorphism gauge symmetries in the massless limit. This yields Lagrangians describing a free massive spin-2 which differ from the usual Fierz-Pauli theory, but are physically equivalent to it. These Lagrangians require the use of auxiliary fields, which appear naturally from the higher-dimensional construction. We discuss how these Lagrangians are related to each other and to the Fierz-Pauli theory through Stuckelberg transformations, gauge-fixings, and field replacements, and we use this to generalize the construction to spin-2 fields on Einstein manifolds.
• Source
##### Article: A model for massless higher spin field interacting with a geometrical background
[Hide abstract]
ABSTRACT: We study a very general four dimensional Field Theory model describing the dynamics of a massless higher spin \$N\$ symmetric tensor field particle interacting with a geometrical background.This model is invariant under the action of an extended linear diffeomorphism. We investigate the consistency of the equations of motion, and the highest spin degrees of freedom are extracted by means of a set of covariant constraints. Moreover the the highest spin equations of motions (and in general all the highest spin field 1-PI irreducible Green functions) are invariant under a chain of transformations induced by a set of \$N-2\$ Ward operators, while the auxiliary fields equations of motion spoil this symmetry. The first steps to a quantum extension of the model are discussed on the basis of the Algebraic Field Theory.Technical aspects are reported in Appendices; in particular one of them is devoted to illustrate the spin-\$2\$ case.