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

2002/10/31 by Xavier Bekaert, Nicolas Boulanger, Marc Henneaux · 2 citations
Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gauge theory #Lorentz group #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Rigidity (electromagnetism) #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.67.044010

published as Phys.Rev. D67 (2003) 044010 · Reference added. Version to appear in Phys. Rev. D

arxiv created 2003/02/10 · openalex publication_date 2003/02/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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\ensuremath-3,1) (one column of length D\ensuremath-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.

Citations

• Quantization of Gauge Systems
• Self-interaction and gauge invariance
• Massless higher spins and holography
• Tensor Gauge Fields in Arbitrary Representations of GL(D, ?). Duality and Poincar� Lemma
• Strongly coupled gravity and duality
• Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory
• Local BRST cohomology in gauge theories
• Local BRST cohomology in the antifield formalism: I. General theorems
• Supergravity in theory in 11 dimensions
• Exotic Tensor Gauge Theory and Duality
• Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields

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• A model for massless higher spin field interacting with a geometrical background
• Montonen–Olive duality [wikipedia]