We study the implications on inflation of an infinite tower of higher-spin states with masses falling exponentially at large field distances, as dictated by the Swampland Distance Conjecture. We show that the Higuchi lower bound on the mass of the tower automatically translates into an upper bound on the inflaton excursion. Strikingly, the mere existence of all spins in the tower forbids any scalar displacement whatsoever, at arbitrarily small Hubble scales, and it turns out therefore incompatible with inflation. A certain field excursion is allowed only if the tower has a cut-off in spin. Finally, we show that this issue is circumvented in the case of a tower of string excitations precisely because of the existence of such a cut-off, which decreases fast enough in field space.

中文翻译：

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通货膨胀、更高的旋转和沼泽地

我们研究了高自旋状态的无限塔膨胀的影响，其中质量在大场距处呈指数下降，正如沼泽地距离猜想所规定的那样。我们表明，塔质量的 Higuchi 下限自动转化为暴胀子偏移的上限。引人注目的是，塔中所有自旋的存在都禁止任何标量位移，在任意小的哈勃尺度下，结果证明它与膨胀不相容。只有当塔的旋转中断时，才允许进行一定的外场偏移。最后，我们证明了这个问题在弦激发塔的情况下被规避，正是因为这种截止的存在，它在场空间中下降得足够快。