Geometrical aspects of string theory and supergravity

弦理论和超引力的几何方面

• 批准号: 2271092
• 金额: --
• 依托单位: University of Liverpool
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2271092
• 关键词: Geometrical; aspects; string; theory; supergravity

String theory provides a framework for investigating how quantum theory modifies the geometry of space-time. Very recently para-Hermitian geometry has been advocated as a way to unify older attempts at a genuine `string geometry', such as doubled geometry and generalized geometry. The project will aim to develop the para-Hermitian approach systematically and to combine it with other modern global approaches to the geometry of both space-time and moduli spaces. It will take into account other recent developments, such as the inclusion of exotic space-time phases which can be realized in string theory through duality transformations. One emphasis of the project will be to work out new explicit examples which allow to clarify to which extent proposed generalizations of geometrical concepts lead to new and interesting physics. Possible case studies include: (i) how do the effective field theories obtained by dimensional reduction on generalized spaces look like? (ii) does the use of doubled geometry makes sense if space-time is not a torus fibration? (iii) can exotic space-time phases where kinetic energy for some fields becomes negative, or which have multiple time-like directions be connected to conventional space-times by any physical process, and if yes, what are the implications for cosmology (dark energy, inflation)? (iv) what are the implications for the laws black hole thermodynamics and their information-theoretic interpretation?

弦理论提供了一个框架，用于研究量子理论如何修改时空的几何形状。最近，人们倡导了帕拉 - 热数学的几何形状，以统一真正的“弦乐几何”（例如双重几何形状和广义几何形状）的旧尝试。该项目的目的是系统地开发para-Hermitian方法，并将其与其他现代的全球方法结合起来，以实现时空空间和模量空间的几何形状。它将考虑到其他最近的发展，例如包含异国的时空阶段，这些阶段可以通过双重性转换在字符串理论中实现。该项目的重点将是制定新的明确例子，以阐明对几何概念提出的概括导致新颖有趣的物理学的概括。可能的案例研究包括：（i）通过尺寸减小在广义空间上获得的有效场理论的样子如何？ （ii）如果时空不是圆环纤维，使用加倍的几何形状是否有意义？ （iii）外来时空阶段是否可以通过任何物理过程将动力学的动能变为负面，或者具有多个时间样的方向与传统的空间时间连接，如果是，则对宇宙学（暗能量，通货膨胀）有什么影响？ （iv）黑洞热力学及其信息理论解释有什么影响？