On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. I: Pauli-Fierz and three-form

Abstract

Cross-couplings between a massless spin-two field (described in the free limit by the Pauli-Fierz action) and an Abelian three-form gauge field in D=11 are investigated in the framework of the deformation theory based on local BRST cohomology. These consistent interactions are obtained on the grounds of smoothness in the coupling constant, locality, Lorentz covariance, Poincare invariance, and the presence of at most two derivatives in the interacting Lagrangian. Our results confirm the uniqueness of the eleven-dimensional interactions between a graviton and a three-form prescribed by General Relativity.

arXiv comment35 pages

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Cited by in corpus (5)

• On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. II: Three-form and gravitini
• On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. IV: Putting things together
• On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. III: Graviton and gravitini
• On the consistent interactions in D=11 among a graviton, a massless gravitino and a three-form
• A Master Action for D=11 Supergravity in the Component Formulation