Studies in Extended Objects, Supersymmetry and Supergravity

这个提议有很多方面，其中大部分都与各种测量超重力的理论有关。PI提议研究五维Randall-Sundrum世界膜场景的超对称版本，它具有有趣的特征，并可能带来一些关于膜构型稳定性的新想法。在过去，五维和六维的测量超引力理论还没有被探索过。在过去的几年里，很明显，将世界膜嵌入超对称理论的尝试是不完整的，因为不是所有版本的五维和六维测量超引力都被构建出来了。PI提议用张量多重态研究5d超引力，并考虑超对称Randall-Sundrum膜世界情景的后果。该提案的另一个方面与各种维度的测量超重力的发展有关，包括9。PI提出了一个新版本的9d测量超重力，其中已经发现域壁存在。这个理论将在膜世界和宇宙学的背景下进行探索。PI提出在背景反对称场中研究非交换超对称规范和重力理论。推力将是发展一个一致的复杂的超重力理论。PI还建议研究超引力的远平行超空间公式，其中存在局部洛伦兹对称破裂的可能性。

This proposal has many facets, most of which have to do with various theories of gauged supergravity. The PI proposes to study supersymmetric versions of the five dimensional Randall-Sundrum world brane scenario that has interesting features and may bring in some new ideas about the stability of brane configurations. The theories of gauged supergravities in five and six dimensions have not been explored in the past. It has become clear over the last few years that attempts of embedding world branes into supersymmetric theories are incomplete since not all versions of five and six dimensional gauged supergravities have been constructed. The PI proposes to study 5d supergravities with tensor multiplets and to consider the consequences for supersymmetric Randall-Sundrum brane world scenarios. Another aspect of the proposal is related to developments with gauged supergravities in various dimensions, including nine The PI proposes a new version of 9d gauged supergravity where it has been found that domain walls exist. This theory will be explored in the context of brane worlds as well as for cosmology. The PI proposes to study Noncommutative Supersymmetric Gauge and Gravity theories in background anti symmetric fields. The thrust will be to develop a consistent complex supergravity theory. The PI also proposes to study teleparallel superspace formulations of supergravity where there is the possibility of breakdown of local Lorentz symmetry.