Gravitational wave consistency relations for multifield inflation
  We study the tensor spectral index $n_t$ and the tensor-to-scalar ratio $r$
in the simplest multifield extension to single-field, slow-roll inflation
models. We show that multifield models with potentials $V \sim \sum_i \lambda_i
|\phi_i|^p$ have different predictions for $n_t/r$ than single-field models,
even when all the couplings are equal $\lambda_i=\lambda_j$, due to the
probabilistic nature of the fields' initial values. We analyze well-motivated
prior probabilities for the $\lambda_i$ and initial conditions to make detailed
predictions for the marginalized probability distribution of $n_t/r$. With
$\mathcal O(100)$ fields and $p>3/4$, we find that $n_t/r$ differs from the
single-field result of $n_t/r=-1/8$ at the 5$\sigma$ level. This gives a novel
and testable prediction for the simplest multifield inflation models.
