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.

35 pages

References in corpus (3)

• No interactions for a collection of Weyl gravitons intermediated by a scalar field
• No interactions for a collection of spin-two fields intermediated by a massive Rarita-Schwinger field
• No cross-interactions between the Weyl graviton and the massless Rarita-Schwinger field

Cited by in corpus (3)

• 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. III: Graviton and gravitini
• On the consistent interactions in D=11 among a graviton, a massless gravitino and a three-form