Sommaire:

In this talk, I will give an overview of recent advances and explicit calculations for the entropy of certain black hole solutions in four-dimensional supergravity theories. Exact results are made available for such black holes thanks to the Quantum Entropy Function formalism and supersymmetric localization, which I will review. Applying this method exhibits some striking connections between the exact entropy of supersymmetric black holes and the mathematics of modular and Jacobi forms. In particular, for the case of 1/4-BPS black holes in the N=4 theory, supergravity organizes the corrections to the area-law (or Bekenstein-Hawking entropy) in a number-theoretic way, and it can be argued that these corrections are related to the ones appearing in the study of mock modular forms.

Pour plus d'informations, merci de contacter Alexandrov S.