Heterotic moduli stabilisation
Heterotic moduli stabilisation
复制标题
杂种模量稳定
DOI：
--
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
A. Westphal
中科院分区：
文献类型：
--
作者：
M. Cicoli;S. Alwis;A. Westphal
本文对紧化在内部流形上的弱耦合杂合弦理论的模稳定性进行了系统的分析，内部流形是光滑的Calabi-Yau三倍，直到α′效应。我们首先回顾如何稳定所有的几何和规范束模在一个超对称的方式，包括分数通量，全纯规范束的要求，D-条款，高阶微扰贡献的超势以及非微扰和阈值效应。然后，我们表明，包括α′修正的Kähler势导致新的稳定的闵可夫斯基（或德西特）真空，其中复杂的结构模和介子是固定的超对称在领先的顺序，而稳定的Kähler模在较低的规模导致自发破缺超对称性。最小值位于所有几何模量的适度大体积处，弦耦合的微扰值处和大统一理论规范耦合的正确唯象值处。我们还提供了一个动力学推导的各向异性紧化与稳定的模量，允许微扰规范耦合统一约1016 GeV。引力子质量的值可以在大统一理论和TeV尺度之间的任何地方，这取决于复杂结构模量的稳定性。一般来说，这些都是通过打开背景通量来固定的，导致引力子质量在大统一尺度附近，因为杂合三形式通量没有足够的自由度来调整超势到小值。此外，容纳宇宙学常数的观测值是一个挑战。低能超对称性可以通过关注特定的卡-丘构造来获得，其中规范丛仅在复结构模空间的点状子轨迹处是全纯的，或者具有少量复结构模的情况（如轨道模型），因为在这些情况下，人们可以固定所有的模而不打开任何量子化的背景通量。然而，在这些情况下，获得宇宙学常数的正确值是一个更大的挑战。另一个选择是专注于非复流形上的紧化，因为这允许新的几何通量，可以用来调整超势以及宇宙常数，即使这些流形的模空间目前还知之甚少。
A bstractWe perform a systematic analysis of moduli stabilisation for weakly coupled heterotic string theory compactified on internal manifolds which are smooth Calabi-Yau three-folds up to α′ effects. We first review how to stabilise all the geometric and gauge bundle moduli in a supersymmetric way by including fractional fluxes, the requirement of a holomorphic gauge bundle, D-terms, higher order perturbative contributions to the superpotential as well as non-perturbative and threshold effects. We then show that the inclusion of α′ corrections to the Kähler potential leads to new stable Minkowski (or de Sitter) vacua where the complex structure moduli and the dilaton are fixed supersymmetrically at leading order, while the stabilisation of the Kähler moduli at a lower scale leads to spontaneous breaking supersymmetry. The minimum lies at moderately large volumes of all the geometric moduli, at perturbative values of the string coupling and at the right phenomenological value of the GUT gauge coupling. We also provide a dynamical derivation of anisotropic compactifications with stabilised moduli which allow for perturbative gauge coupling unification around 1016 GeV. The value of the gravitino mass can be anywhere between the GUT and the TeV scale depending on the stabilisation of the complex structure moduli. In general, these are fixed by turning on background fluxes, leading to a gravitino mass around the GUT scale since the heterotic three-form flux does not contain enough freedom to tune the superpotential to small values. Moreover accommodating the observed value of the cosmological constant is a challenge. Low-energy supersymmetry could instead be obtained by focusing on particular Calabi-Yau constructions where the gauge bundle is holomorphic only at a point-like sub-locus of complex structure moduli space, or situations with a small number of complex structure moduli (like orbifold models), since in these cases one may fix all the moduli without turning on any quantised background flux. However obtaining the right value of the cosmological constant is even more of a challenge in these cases. Another option would be to focus on compactifications on non-complex manifolds, since these allow for new geometric fluxes which could be used to tune the superpotential as well as the cosmological constant, even if the moduli space of these manifolds is presently only poorly understood.
杂变 Calabi-Yau 致密化中的 Atiyah 类和复杂结构稳定性
影响因子：
5.4
作者：
Anderson L
通讯作者：
Anderson L
稳定杂种优势 Calabi-Yau 真空中的复杂结构
影响因子：
5.4
作者：
Anderson L
通讯作者：
Anderson L