Generalised Geometric Structures in String Theory

弦理论中的广义几何结构

• 批准号: EP/E031064/1
• 负责人: Christopher Hull
• 金额: $ 2.04万
• 依托单位: Imperial College London
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FE031064%2F1
• 关键词: Generalised; Geometric; Structures; String; Theory

In string theory, extra dimensions of spacetime are curled up in a small internal space. Physical predictions, such as the spectrum of particles, are largely determined by the choice of internal space, so that understanding the possible internal spaces that give consistent string backgrounds is an important question. Reasonable physical restrictions lead to a rich class of possible internal geometries with a deep mathematical structure that has led to a productive interplay between mathematics and physics that has led to important results and understanding on both sides. The aim of the research is to extend this to find and study a wider class of internal spaces, including those with fluxes and those which do not have conventional geometries, as recent developments suggest that there is a deep underlying structure that involves new ideas in mathematics. The non-conventional geometries may in fact be generic in string theory, and studying them will provide new insights into the nature of string theory that go beyond the field theory approximation that is often applied.

在弦理论中，额外维度的时空被卷曲在一个很小的内部空间中。物理预测，例如粒子的光谱，在很大程度上由内部空间的选择决定，因此理解提供一致弦背景的可能的内部空间是一个重要的问题。合理的物理限制导致了一类丰富的可能的内部几何图形，这些几何图形具有深刻的数学结构，这导致了数学和物理之间富有成效的相互作用，导致了双方的重要结果和理解。这项研究的目的是将其扩展到发现和研究更广泛的内部空间类别，包括那些有通量的内部空间和那些没有传统几何结构的内部空间，因为最近的发展表明，存在着涉及数学新思想的深层基础结构。事实上，非常规几何在弦理论中可能是通用的，研究它们将为弦理论的本质提供新的见解，这超出了通常应用的场论近似。

项目成果

Non-geometric Calabi-Yau backgrounds and K3 automorphisms

非几何 Calabi-Yau 背景和 K3 自同构

• DOI: 10.1007/jhep11(2017)084
• 发表时间: 2017
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Hull C

Heterotic/type II duality and non-geometric compactifications

杂种/II型二元性和非几何紧化

• DOI: 10.1007/jhep10(2019)214
• 发表时间: 2019
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Gautier Y

All (4,0): Sigma models with (4,0) off-shell supersymmetry

所有 (4,0)：具有 (4,0) 离壳超对称性的 Sigma 模型

• DOI: 10.1007/jhep08(2017)129
• 发表时间: 2017
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Hull C