Exceptional Theta Series and Higher Spins in Constant Curvature Backgrounds

0140365瓦尔德龙·爱因斯坦提出并撤回了在他的方程中增加宇宙常数λ项的建议，该方程将引力描述为空间和时间的曲率。最近的观察表明存在一个小的、正的Lambda。正如PI和合作者所示，如果是这种情况，自旋和质量的概念在数学上更加丰富。该项目将部分致力于研究这些新现象。此外，对引力的量子理论的理论理解，在很大程度上是通过弦理论的研究而取得的，弦理论用基本弦的激发取代了粒子的激发。引人注目的是，数学中的许多新结果都是从这些考虑中产生的。PI将研究这种数学/物理相互作用的各个方面，包括将弦推广到膜，随机矩阵和超对称性。

0140365WaldronEinstein both proposed and retracted an addition of a cosmological constant Lambda term to his equations describing gravity as curvature of space and time. Recent observations indicate the presence of a small, positive Lambda. As shown by the PI and collaborators, the notions of spin and mass are mathematically richer if this the case. The project will in part be devoted to a study of these new phenomena. In addition, the theoretical understanding of what a quantum theory of gravitation might look like, has significantly advanced in a large part through studies of string theories which replace particle excitations with those of fundamental strings. Strikingly, many new results in mathematics have arisen from these considerations. The PI will investigate various aspects of this math/physics interplay, including a generalization of strings to membranes, random matrices and supersymmetry.