Nagoya University
Theoretical Elementary Particle Physics Laboratory

Date&Time Tue Oct 19 2021 (17:00 - 18:00)
Abhiram Kidambi
Affiliation IPMU
Title Towards localization of 1/4-BPS black holes in N = 4 supergravity: Lessons from the microscopic side
Abstract Obtaining and matching exact partition functions of black holes from the microscopic (field theory) and macroscopic (gravity) description is fundamental to holography. This has been achieved for 1/8BPS black holes in N = 8 string compactification, and for 1/2 BPS black holes in N = 4 compactifications. The next step is to derive this for 1/4 BPS black holes in N =4 compactifications. In the study of single center 1/4-BPS black holes in N = 4 theories, we have a good grasp of the microscopic degeneracies in terms of Fourier coefficients of mock-modular forms that can be obtained from the inverse of the Igusa cusp form. The final ingredient is now to compute these degeneracies from supergravity via localization techniques. In this talk, I will go over the microscopic calculation and discuss the theory of supergravity localization and steps to compute the exact degeneracies of 1/4 BPS black holes (single center) in N = 4 theories.