An Algebraic Approach to M/Superstring Theory and Supergravity

M/超弦理论和超引力的代数方法

• 批准号: 0245337
• 负责人: Murat Gunaydin
• 金额: $ 9.9万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-07-01 至 2006-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0245337&HistoricalAwards=false
• 关键词: Algebraic; Approach; Superstring; Theory; Supergravity

The proposed research is on algebraic approaches to understanding aspects of M/Superstring Theory and Supergravity. The PI proposes to obtain the spectra of M/Superstring theory in different space-time backgrounds. The main thrust will be to understand better AdS/CFT dualities in these backgrounds. The PI intends to make further studies of gauged N=2 supergravity theory and to understand their embeddings in M/superstring theory. The connection between supercoherent state bases of conformal supergroups and harmonic superspace will be investigated with an eye for understanding AdS/CFT dualities. In a more formal area, the PI will investigate the unitary representations of non-compact symmetry groups of extended supergravity theories and use this information to better understand M/superstring theory.

拟议的研究是代数方法来理解方面的M/超弦理论和超引力。PI提出在不同时空背景下获得M/超弦理论的谱。主要的推力将是更好地了解广告/CFT在这些背景下的二元性。PI打算进一步研究规范N=2超引力理论，并理解它们在M/超弦理论中的嵌入。为了理解AdS/CFT对偶，我们将研究共形超群的超相干态基与调和超空间之间的联系。在更正式的领域，PI将研究扩展超引力理论的非紧对称群的酉表示，并使用这些信息更好地理解M/超弦理论。