Transplanckian censorship and the local swampland distance conjecture

Transplanckian censorship and the local swampland distance conjecture
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DOI:
10.1007/jhep01(2020)133
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发表时间:
2020-01-21
影响因子:
5.4
通讯作者:
Farkas, Szilard
Farkas, Szilard
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Draper, Patrick;Farkas, Szilard

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沼泽地距离猜想(SDC)解决了有效场论描述模空间中遥远点的能力。很自然地会问是否存在局部版本的SDC:是否有可能在模空间的极端区域采样的EFT中构造局部激发?在许多情况下,这样的激励表现出地平线或不稳定性,这表明,有边界的大小和结构的领域的激励,可以实现EFT。普通卡鲁扎-克莱因理论中的静态气泡提供了一类简单的例子:在光滑表面上,KK半径趋于零,局部探测有限距离点,气泡对径向扰动是经典不稳定的。然而,也可以通过添加助熔剂将KK气泡稳定在经典水平。我们研究了施加弱引力猜想(WGC)对这些解决方案的影响,发现在q/m大于或接近1的带电物质的存在下,会产生快速的对生产不稳定性。我们还分析了4d带电的双光子黑洞。在地平线处的小曲率施加了一个边界对数(M-BH),大于或类似于|?|,并且如果满足WGC的粒子足够轻,则可以加强结合。我们猜想,在渐近平坦空间中的量子引力需要一个大的局部模空间偏移的一般界,其形式为|?|小于或类似于|log(R λ)|其中R是包围激发的最小区域的大小,Lambda(-1)是局部EFT上的短距离截止。该边界被量子黑洞和Kaluza-Klein磁单极定性饱和。
The swampland distance conjecture (SDC) addresses the ability of effective field theory to describe distant points in moduli space. It is natural to ask whether there is a local version of the SDC: is it possible to construct local excitations in an EFT that sample extreme regions of moduli space? In many cases such excitations exhibit horizons or instabilities, suggesting that there are bounds on the size and structure of field excitations that can be achieved in EFT. Static bubbles in ordinary Kaluza-Klein theory provide a simple class of examples: the KK radius goes to zero on a smooth surface, locally probing an in- finite distance point, and the bubbles are classically unstable against radial perturbations. However, it is also possible to stabilize KK bubbles at the classical level by adding flux. We study the impact of imposing the Weak Gravity Conjecture (WGC) on these solutions, finding that a rapid pair production instability arises in the presence of charged matter with q/m greater than or similar to 1. We also analyze 4d electrically charged dilatonic black holes. Small curvature at the horizon imposes a bound log (M-BH) ,greater than or similar to |?|, independent of the WGC, and the bound can be strengthened if the particle satisfying the WGC is sufficiently light. We conjecture that quantum gravity in asymptotically flat space requires a general bound on large localized moduli space excursions of the form |?| less than or similar to | log(R Lambda)|, where R is the size of the minimal region enclosing the excitation and Lambda(-1) is the short-distance cutoff on local EFT. The bound is qualitatively saturated by the dilatonic black holes and Kaluza-Klein monopoles.