Constraints on the spectral index for the inflation models in string landscape

Abstract

We conjecture that the inflation models with trans-Planckian excursions in the field space should be in the swampland. We check this conjecture in a few examples and investigate the constraints on the spectral index for the slow-roll inflation model in string landscape where the variation of inflaton during the period of inflation is less than the Planck scale $M_p$. A red primordial power spectrum with a lower bound on the spectral index is preferred. Both the tensor-scalar ratio and the running can be ignored.

5 pages, 1 figure; refs added, version for publication in Phys.Rev.D (rapid communication)

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• Large Non-Gaussianity Implication for Curvaton Scenario
• Possible theoretical limits on holographic quintessence from weak gravity conjecture
• General Single Field Inflation with Large Positive Non-Gaussianity
• N-vaton
• Large Gravitational Waves and Lyth Bound in Multi Brane Inflation
• Spectral Index in Curvaton Scenario
• Weak Gravity Conjecture for the Effective Field Theories with N Species