Exceptional Theta Series and Higher Spins in Constant Curvature Backgrounds

[00:36 . 56]沃尔德隆·爱因斯坦在他的把引力描述为空间和时间的曲率的方程中，提出并收回了一个宇宙常数Lambda项。最近的观测表明存在一个小的正Lambda。正如PI及其合作者所展示的那样，在这种情况下，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，对量子引力理论的理论理解，在很大程度上通过弦理论的研究取得了重大进展，弦理论用基本弦的激发取代了粒子的激发。引人注目的是，许多新的数学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。

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.