论文标题
黑暗全息图和重力波
Dark Holograms and Gravitational Waves
论文作者
论文摘要
在宇宙学的一阶相变中产生的随机重力波(GW)的光谱是在具有双全息描述的强相关理论中计算的。这些理论主要用作黑暗领域的模型。特别是,我们考虑了所谓的Witten-Sakai-Sugimoto模型,即$ su(n)$仪表理论与基本和伴随表示形式的不同物质领域相连。该模型具有众所周知的自上而下的全息二元描述,使我们能够在强耦合方案中执行可靠的计算。我们考虑了来自气泡碰撞和由两种不同类型的一阶相变引起的声波的GW光谱:限制/解次插入和手性对称性破坏/恢复。根据模型参数,我们发现GW光谱可能属于地面和空间干涉仪的敏感性区域,以及脉冲星时阵列的敏感性区域。在后一种情况下,信号可以与Nanograv最近的潜在观察结果兼容。当两个相变在不同的临界温度下发生时,出现了具有双频峰的特征光谱。此外,在这种情况下,我们明确地展示了如何纠正GW功率谱中出现的红移因子,以说明从第一个过渡到当前时代的绝热扩展不再假定的事实。
Spectra of stochastic gravitational waves (GW) generated in cosmological first-order phase transitions are computed within strongly correlated theories with a dual holographic description. The theories are mostly used as models of dark sectors. In particular, we consider the so-called Witten-Sakai-Sugimoto model, a $SU(N)$ gauge theory coupled to different matter fields in both the fundamental and the adjoint representations. The model has a well-known top-down holographic dual description which allows us to perform reliable calculations in the strongly coupled regime. We consider the GW spectra from bubble collisions and sound waves arising from two different kinds of first-order phase transitions: a confinement/deconfinement one and a chiral symmetry breaking/restoration one. Depending on the model parameters, we find that the GW spectra may fall within the sensibility region of ground-based and space-based interferometers, as well as of Pulsar Timing Arrays. In the latter case, the signal could be compatible with the recent potential observation by NANOGrav. When the two phase transitions happen at different critical temperatures, characteristic spectra with double frequency peaks show up. Moreover, in this case we explicitly show how to correct the redshift factors appearing in the formulae for the GW power spectra to account for the fact that adiabatic expansion from the first transition to the present times cannot be assumed anymore.