We derive a microscopic bound on the maximal field variation of the inflatonduring warped D-brane inflation. By a result of Lyth, this implies an upperlimit on the amount of gravitational waves produced during inflation. We showthat a detection at the level $r > 0.01$ would falsify slow roll D-braneinflation. In DBI inflation, detectable tensors may be possible in specialcompactifications, provided that $r$ decreases rapidly during inflation. Wealso show that for the special case of DBI inflation with a quadraticpotential, current observational constraints imply strong upper bounds on thefive-form flux.
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机译：我们推导出了在弯曲的D膜充气过程中膨胀的最大场变化的微观界限。 Lyth的结果表明，这意味着在充气过程中产生的重力波的上限。我们表明，在水平r> 0.01 $的检测结果会伪造慢摇D型通货膨胀。在DBI通货膨胀中，只要$ r $在通货膨胀期间迅速下降，在特殊的紧缩形式中可能就可以检测到张量。我们还表明，对于具有二次势的DBI膨胀的特殊情况，当前的观测约束暗示着五形式通量的强上限。
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