四二次曲面CY三维簇与辅助纤维暴胀
Tetra-quadric CY Threefold and Assisted Fibre Inflation
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中文总结 AI 辅助
本文在IIB型超弦紧化中，利用四二次曲面CY三维簇的定向偶极构造实现四场模型，通过三个凯勒模分担暴胀子位移，无需单个体积模超普朗克位移，完成辅助纤维暴胀论证。
中文摘要 AI 辅助
在IIB型超弦紧化的背景下，我们针对一个四场模型论证了辅助纤维暴胀方案，该模型通过四二次曲面卡拉比-丘（CY）三维簇的定向偶极构造实现。此CY三维簇具有基础置换对称性S₄，同时属于卡拉比-丘三维簇列表，即Kreuzer-Skarke（KS）数据库与完全相交卡拉比-丘（CICY）数据库。在使用微扰大体积方案框架固定CY三维簇的总体积模后，存在三个凯勒模保持平坦，并通过次阶修正辅助驱动纤维暴胀。在一个特定基准模型中，我们表明，驱动纤维暴胀所需的有效暴胀子位移约为5.7 Mₚ，可成功由三个暴胀子模分担，每个仅需位移近2.2 Mₚ。本工作的主要动机是证明，无需将单个体积模推向大的超普朗克位移或接近凯勒锥边界（这可能对有效场论和超引力近似产生后续挑战，尤其在基于瑞士奶酪的纤维暴胀模型中），即可实现暴胀子场的有效大场偏移。
英文摘要
In the context of type IIB superstring compactification, we demonstrate the assisted fibre inflation proposal for a four-field model realized using the orientifold of a tetra-quadric Calabi-Yau (CY) threefold. This CY threefold has an underlying permutation symmetry $S_4$ and belongs to both the list of CY threefolds, namely the Kreuzer-Skarke (KS) database as well as the Complete Intersection Calabi-Yau (CICY) database. After fixing the overall volume modulus of the CY threefold using the framework of perturbative large volume scenario, there are three Kähler moduli which remain flat and assist in driving fibre inflation via sub-leading corrections. In a particular benchmark model, we show that the effective inflaton shift of around $5.7$ M$_p$, as needed for driving fibre inflation, can be successfully shared by three inflaton moduli which need to be individually shifted by nearly $2.2$ M$_p$ only ! The main motivation for the work is to show that the effective large field excursions of the inflaton field is possible without the need of pushing the individual volume moduli towards a large super-Planckian excursion or close to the boundary of the Kähler cone which may create various subsequent challenges for the effective field theory and supergravity approximations, especially in Swiss-Cheese based models of fibre inflation.
