Quantum aspects of black holes and holography

研究AdS5和AdS5/CFT4中黑洞热力学的问题。特别探讨了AdS5中超对称黑洞的微观态与某些超共形指标之间的关系。利用\mathcal{N}=1超共形指标研究\mathcal{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通用的方式显式列出与从这个计数问题中得到的数字相对应的操作符。

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.