Quantum aspects of black holes and holography

在AdS5和AdS5/CFT4中研究来自黑洞热力学的问题。特别探讨了AdS5中超对称黑洞的微态与某些超共形指数之间的关系。利用数学上的{N}=1超共形指标，研究了数学上{N}=4U(N)超级Yang-Mills理论中1/16-BPS算子的计数问题.尝试以尽可能系统和一般的方式，显式地列出与从该计数问题获得的数相对应的运算符。

Investigate questions coming from black hole thermodynamics in AdS5 and AdS5/CFT4. In particular, explore the relation between microstates of supersymmetric black holes in AdS5 and certain Super Conformal indices. Study the counting problem of 1/16 - BPS operators in \mathcal{N}=4 U(N) Super Yang-Mills theory using the \mathcal{N}=1 Super Conformal index of the theory. Try and explicitly list the operators corresponding to the numbers obtained from this counting problem in as systematic and general way as possible.