Supergravity inflation with broken shift symmetry and large tensor-to-scalar ratio

We propose a class of inflation models with potential V(phi) = alpha phi(n)exp(beta(m)phi(m)). We show that such kind of inflaton potentials can be realized in supergravity theory with a small shift symmetry breaking term in the Kahler potential. We find that the models with (m = 1, n = 1), (m = 1, n = 2), (m = 2, n = 1), and (m = 2, n = 3/2) can easily accommodate the Planck results. In particular, the tensor-to-scalar ratio is larger than 0.01 in the 1 sigma region. Thus, these models generate the typical large field inflation, and can be tested at the future Planck and QUBIC experiments.