We derive a microscopic bound on the maximal field variation of the inflaton during warped D-brane inflation. By a result of Lyth, this implies an upper limit on the amount of gravitational waves produced during inflation. We show that a detection at the level $r > 0.01$ would falsify slow roll D-brane inflation. In DBI inflation, detectable tensors may be possible in special compactifications, provided that $r$ decreases rapidly during inflation. We also show that for the special case of DBI inflation with a quadratic potential, current observational constraints imply strong upper bounds on the five-form flux.
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机译：我们在翘曲的D膜充气过程中得出了关于充气子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$ r> 0.01 $的水平上进行检测会伪造慢摇D型脑袋通货膨胀。在DBI通货膨胀中，只要$ r $在通货膨胀期间迅速下降，就可以在特殊压实中检测到张量。我们还表明，对于具有二次电势的DBI膨胀的特殊情况，当前的观测约束意味着五种形式通量的上限较高。
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