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arXiv 2204.06009hep-th
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LVS及其他IIB型模型中的圈、局域修正与弯曲

Loops, Local Corrections and Warping in the LVS and other Type IIB Models

Xin Gao, Arthur Hebecker, Simon Schreyer, Victoria Venken

AI总结:

本文将IIB型弦论微扰修正分为圈、局域α'和弯曲三类,推导并扩展Berg-Haack-Pajer猜想至一般Calabi-Yau几何,同时化解弦圈与场论预期间的参数行为矛盾。

摘要:

为了建立亚稳态德西特真空,甚至仅仅是尺度分离的AdS,控制对弦论导出的领头阶4维拉格朗日量的微扰修正至关重要。这类修正可分为三类:第一,存在真正的圈效应,它们对10维理论的UV完备化不敏感。第二,存在局域α'修正,或等价地,10维高维算符,它们可能与圈效应有关,也可能无关。第三,弯曲修正影响4维Kahler势,但预期不会破坏4维无标度结构。基于这一分类,我们尝试推导关于IIB型Calabi-Yau定向流形中Kahler修正的Berg-Haack-Pajer猜想,并将其扩展以包含更多项。这一点至关重要,因为该猜想的有趣应用是在一般Calabi-Yau几何背景下,而非最初主要动机所源自的基于环面的模型。作为一个重要的副产品,我们解决了弦圈结果的参数行为与场论预期之间一个已知的表面矛盾。我们的发现引出了一些有趣的新结论,涉及与爆缩周期相关的圈效应、纤维暴胀中的圈修正,以及Kahler势和标量势中可能存在的对数效应。

英文摘要:

To establish metastable de Sitter vacua or even just scale-separated AdS, control over perturbative corrections to the string-derived leading-order 4d lagrangian is crucial. Such corrections can be classified in three types: First, there are genuine loop effects, insensitive to the UV completion of the 10d theory. Second, there are local $α'$ corrections or, equivalently, 10d higher-dimension operators which may or may not be related to loop-effects. Third, warping corrections affect the 4d Kahler potential but are expected not to violate the 4d no-scale structure. With this classification in mind, we attempt to derive the Berg-Haack-Pajer conjecture for Kahler corrections in type-IIB Calabi-Yau orientifolds and extend it to include further terms. This is crucial since the interesting applications of this conjecture are in the context of generic Calabi-Yau geometries rather than in the torus-based models from which the main motivation originally stems. As an important by-product, we resolve a known apparent inconsistency between the parametric behaviour of string loop results and field-theoretic expectations. Our findings lead to some interesting new statements concerning loop effects associated with blowup-cycles, loop corrections in fibre inflation, and possible logarithmic effects in the Kahler and scalar potential.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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