On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. III: Graviton and gravitini
arXiv:0901.4622 · doi:10.1142/S0217751X08041244
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 in D=11 there are no cross-interactions between the graviton and the massless gravitino and also no self-interactions in the Rarita-Schwinger sector. A comparison with the case D=4 is briefly discussed.
arXiv comment16 pages
References in corpus (4)
- A note on the uniqueness of D=4 N=1 Supergravity
- 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. IV: Putting things together
- On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. II: Three-form and gravitini
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. IV: Putting things together
- On the consistent interactions in D=11 among a graviton, a massless gravitino and a three-form