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?

弦理论为研究量子理论如何改变时空几何提供了一个框架。最近，准厄米几何被提倡作为一种统一真正“弦几何”的旧尝试的方法，例如双重几何和广义几何。该项目的目标是系统地开发准厄米方法，并将其与其他现代时空和模空间几何的全球方法相结合。它将考虑到其他最近的发展，例如包含可以通过对偶变换在弦理论中实现的奇异时空相位。该项目的重点之一是找出新的明确示例，以阐明所提出的几何概念的概括在多大程度上会导致新的有趣的物理学。可能的案例研究包括：（i）通过广义空间降维获得的有效场论是什么样的？ (ii) 如果时空不是环面纤维，那么使用双重几何是否有意义？ (iii) 某些场的动能变为负值或具有多个类似时间方向的奇异时空相是否可以通过任何物理过程与常规时空相连接，如果是，对宇宙学有什么影响（暗能源、通货膨胀）？ (iv) 对黑洞热力学定律及其信息论解释有何影响？