On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. IV: Putting things together

Abstract

Under the hypotheses of smoothness of the interactions in the coupling constant, locality, Poincare invariance, Lorentz covariance, and the preservation of the number of derivatives on each field in the Lagrangian of the interacting theory (the same number of derivatives like in the free Lagrangian), we prove that the only consistent interactions in D=11 among massless gravitini, a graviton, and a 3-form are described by N=1, D=11 SUGRA.

45 pages

References in corpus (5)

• Local BRST cohomology in gauge theories
• No interactions for a collection of spin-two fields intermediated by a massive Rarita-Schwinger field
• On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. I: Pauli-Fierz and three-form
• 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

Cited by in corpus (4)

• 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
• A Master Action for D=11 Supergravity in the Component Formulation