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arXiv 1708.02249hep-th
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微型计量联轴器是否在沼泽地之外?

Are tiny gauge couplings out of the Swampland?

Miguel Montero

摘要:

有重要的证据表明,连续的整体对称性总是在量子引力中得到测量。然而,非常弱规范的对称性似乎是牛顿常数的幂的有效场论扩展的全局。我们表明,至少对于爱因斯坦量子引力在AdS,这样的极弱的规范确实是在沼泽地:与AdS黑洞热力学的一致性要求体规范耦合$g^2$不消失的速度比$\sim\exp(\ell^{d-1}/G)$,其中$\ell$是$AdS_{d+1}$半径和$G$是牛顿常数,因为我们采取$G\rightarrow0$限制。这转化为双大$N$ CFT中的约束,即,在大$N$极限中,当前$C_J$的两点函数系数不能比$\exp(N^2)$增长得更快。我们还恢复了以前已知的对数关系的截止的有效场论在AdS,普朗克的质量,和AdS半径。

英文摘要:

There is significant evidence suggesting that continuous global symmetries are always gauged in quantum gravity. However, very weakly gauged symmetries seem global to an effective field theory expansion in powers of Newton's constant. We show that, at least for Einsteinian quantum gravity on AdS, such extremely weak gaugings are indeed in the Swampland: Consistency with AdS black hole thermodynamics requires the bulk gauge coupling $g^2$ not to vanish faster than $\sim\exp(\ell^{d-1}/G)$, where $\ell$ is the $AdS_{d+1}$ radius and $G$ is Newton's constant as we take the $G\rightarrow0$ limit. This translates to a constraint in the dual large $N$ CFT, namely, that the two-point function coefficient of the current $C_J$ cannot grow faster than $\exp(N^2)$ in the large $N$ limit. We also recover a previously known logarithmic relationship between the cutoff of the effective field theory in AdS, Planck's mass, and the AdS radius.

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