论文标题

量子重力和物种量表中的出现建议

The Emergence Proposal in Quantum Gravity and the Species Scale

论文作者

Castellano, Alberto, Herráez, Alvaro, Ibáñez, Luis E.

论文摘要

在QG中的出现建议中,人们认为,基本紫外线理论中没有所有轻粒子动力学术语,并且由IR中的量子校正产生。有人认为,这可能提供了对WGC和SDC的一些微观理解。在本文中,我们采取了第一步,在弦理论的背景下进行系统的出现研究。我们强调物种量表在与重力相关的任何EFT中的关键作用,并在弦理论和一般系统中讨论其计算。然后,我们介绍了出现的概念,并展示了如何产生模量,仪表和费米子的动力学术语。一环计算在出现中起重要作用,因此我们在$ d $ d $时空维度中介绍了标量,向量和费米子的波函数重归其化的详细计算。我们在数字串真空中扩展并检查出现建议,包括4D $ \ MATHCAL {n} = 2 $ type IIA在Cy $ _3 $上产生的理论,在该$ _3 $上,强耦合的塔楼由D0和(包装)D2-BRANES组成,并详细介绍了如何在插座校正的方式中均包含了您的出现图片。还讨论了更高的示例,包括椭圆cy $ _3 $或$ k3 $表面的6D和7D模型。我们还考虑了10D字符串理论,并详细研究了IIA型的出现机制。我们还通过分析对M理论的相应的分解极限来显示如何从出现处方中获得4D中的通量电位。我们发现,在整合大型Gravitini(和Bosonic Superpartners)的塔时,可能会出现双重3形磁场所需的动力学术语。我们的分析提供了支持出现建议的支持,并认为在QG中可能会出现无限距离奇异性作为固有的IR现象。

In the Emergence Proposal in QG it is conjectured that all light-particle kinetic terms are absent in the fundamental UV theory and are generated by quantum corrections in the IR. It has been argued that this may provide for some microscopic understanding of the WGC and SDC. In the present paper we take the first steps towards a systematic study of Emergence in the context of string theory. We emphasize the crucial role of the species scale in any EFT coupled to gravity, and discuss its computation in string theory and general systems with light towers of states. We then introduce the notion of Emergence and show how kinetic terms for moduli, gauge bosons and fermions may be generated. One-loop computations play an important role in Emergence, so we present detailed calculations in $d$ spacetime dimensions for the wave-function renormalization of scalars, vectors and fermions. We extend and check the Emergence Proposal in a number string vacua, including 4d $\mathcal{N}=2$ theories arising from type IIA on a CY$_3$, where the towers at strong coupling are comprised by D0 and (wrapped) D2-branes, and also elaborate on how instanton corrections would fit within the emergence picture. Higher dimensional examples are also discussed, including 6d and 7d models arising from F-/M-theory on an elliptic CY$_3$ or a $K3$ surface. We also consider 10d string theories and study in some detail the emergence mechanism in type IIA. We show as well how the flux potential in 4d may be obtained from the emergence prescription, by analyzing the corresponding decompactification limits to M-theory. We find that the required kinetic terms for the dual 3-form fields can arise upon integrating out towers of massive gravitini (and bosonic superpartners). Our analysis renders support to the Emergence Proposal, and to the idea that infinite distance singularities may arise in QG as an intrinsic IR phenomenon.

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