扩展引力及超引力的研究

Quantization of gravity is the "Holly Grail" of fundamental physics, and higher derivative gravity theory is one of the most promising candidates for quantum gravity. This project aims to study various higher-derivative-gravity models, such as critical gravity, f(R) gravity and pseudo-supergravity. We explore the potential symmetries behind these theories and construct exact analytical solutions of these theories. Then analyze these solutions in application to both the AdS/CFT correspondence and cosmology. Furthermore, we shall test and constrain these theories with current astrophysical and cosmological observational data. Critical gravity can be renormalized and free of ghost problem in the critical point, but these critical points could be changed because of the Renormalization Group (RG) flow. A pseudo-supergravity model is invariant under a group of pseudo-supersymmetry transformation rules, there may be some kind of exact symmetry behind it. We shall study these two theories, and try to put them together, find the underline symmetry and check if this symmetry can protect the critical point of critical gravity from the RG flow.

引力的量子化是基本物理的"Holly Grail",高阶导数引力理论是有可能通向量子引力的途径之一。本项目拟研究各种高阶导数引力理论,如临界引力理论,f(R)引力和赝超引力, 探寻其可能存在的对称性以及寻找其新的解析的精确解,分析这些解在 AdS/CFT 和宇宙学上的应用,尤其是利用天文学观测数据对这些理论进行限制和甄别。临界引力在临界点可以重整化且没有鬼场问题,但是这些临界点会因重整化流而偏离;赝超引力系统在一组近似超对称变换下保持不变,其背后可能存在某种精确的对称性。本项目将对这两个理论做深入的研究,将两个理论结合起来,探寻赝超引力背后的对称性,且查看这种对称性是否可以用来保护临界理论的临界点,使其不受重整化流的影响。

引力的量子化是基本物理的"Holly Grail"，高阶导数引力理论是有可能通向量子引力的途径之一。本项目研究了多种引力理论，如规范最大超引力理论，Horndeski理论，Einstein-Proca理论 以及 Einstein-Maxwell-Dilaton 理论。我们仔细研究了这些理论的特性，依据其特性在部分引力理论中构造解析的黑洞解，并分析了其黑洞热力学。对于Horndeski和Einstein-Maxwell-Dilaton 理论，我们还应用AdS/CFT 计算了其对偶场论的粘滞系数，得到了一些非常有意思的结果。在这个项目下，我们共完成了11篇文章，累计引用100多次。