An Algebraic Approach to M/Superstring Theory and Supergravity

拟议的研究是关于理解M/超弦理论和超引力方面的代数方法。PI建议获得M/超弦理论在不同时空背景下的谱。主要目的将是在这些背景下更好地理解ADS/CFT的二元性。PI打算进一步研究规范的N=2超引力理论，并了解它们在M/超弦理论中的嵌入情况。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。在一个更正式的领域，PI将研究扩展超引力理论的非紧对称群的么正表示，并利用这些信息更好地理解M/超弦理论。

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.