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

Physical Review D (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

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