论文标题
宇宙学2形二元性的一些疑问
Some disquisitions on cosmological 2-form dualities
论文作者
论文摘要
在这项工作中,我们研究了自相互作用的两种形式领域的不同方面,并在其宇宙学应用中特别强调。我们提供了无质量2形式与宇宙学原理兼容的明确结构,而无需诉诸双标量表场公式。就两种形式而言,剩余的欧几里得组通过外部空间翻译和内部仪表变换的结合而非平整地实现。在介绍了宇宙学场景中的二元性的一般讨论之后,我们分析了某些奇异模型的特定示例,并详细讨论了DBI,Cuscuton和Ghost Condement的双重描述,以及二元性在有效的宇宙学领域理论中的作用。然后,我们继续使用几种自我互动的无质量2形式来分析场景,我们表明它们自然提供了固体的双重描述。然后,我们展示如何通过在双重配方中获得适当的限制来获得完美的流体和超流体。我们最终考虑了大量2形式及其双重的情况,并简要讨论了它们在重力波天文学中的潜在签名。
In this work we study different aspect of self-interacting 2-form fields with special emphasis in their cosmological applications. We provide the explicit construction of how massless 2-forms are compatible with the cosmological principle without resorting to the dual scalar field formulation. In terms of the 2-form, the residual Euclidean group is non-trivially realised by means of a combination of external spatial translations and internal gauge transformations. After presenting the general discussion of the dualities in cosmological scenarios, we analyse particular examples for some singular models and discuss in some detail the dual descriptions of the DBI, the cuscuton and the ghost condensate as well as the role of the duality in the effective field theories of cosmological perturbations. We then proceed to analysing scenarios with several self-interacting massless 2-forms and we show that they naturally provide the dual description of a solid. We then show how the perfect fluid and superfluids can be obtained by taking the appropriate limits in the dual formulations. We finally consider the case of massive 2-forms and their duals and briefly discuss their potential signatures in gravitational waves astronomy.