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

Physical Review D (Impact Factor: 4.64). 10/2002; 67(4). DOI: 10.1103/PhysRevD.67.044010
Source: arXiv


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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Available from: Nicolas Boulanger, Dec 04, 2012
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    • "The new field C µν m;npqrs indeed has the representation that is expected from the dualization of 10D gravity [34] [35] (although this dualization can not be fully understood at the non-linear level in 10D [36]). The systematics of the vector and tensor fields can be improved upon converting to dual representations by extracting the anti-symmetric tensors˚e ε mnpqr and/or ε αβ . "
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    • ", 8, that in three dimensions are dual to the Kaluza-Klein vectors A µ m . As the latter originate from components of the D " 11 metric, this amounts to including in the theory components of a 'dual graviton' [23] [24] [25] [26] at the full non-linear level, something that is considered impossible on the grounds of the no-go theorems in [27] [28]. In EFT this problem is resolved due to the presence of the extra E 8p8q gauge symmetry from (1.3). "
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    Physical Review D 06/2014; 90(6). DOI:10.1103/PhysRevD.90.066002 · 4.64 Impact Factor
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    • "If no vertices are compatible with any deformation of gauge symmetry, this is considered as a no-go theorem for a consistent interaction. Various no-go results are known for gravitational interactions in various models, see [2], [3], [4], [5], and references therein. "
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