Black Hole Entropy in Supersymmetric Theories

by Emilia Maenaut

Thursday Nov 2, 2023, 2:15 PM → 3:45 PM Europe/Berlin

D6-135 (UHG)

This presentation explores the realm of black hole entropy in supersymmetric theories, with a specific emphasis on supersymmetric black holes and their quantum corrections to the classical Bekenstein-Hawking area-law. At its core, our investigation revolves around Sen's Quantum Entropy Function formalism, where the quantum entropy of supersymmetric black holes in supergravity theories is expressed as a near-horizon path-integral.

We will begin with the background, bridging black holes, general relativity, and quantum mechanics while emphasising their historical significance and the relevance of entropy. Then introduce Wald entropy and Sen's entropy function. We then cover the mathematical core of equivariant cohomology and localisation ensuring exactness in our results and encompassing both perturbative and non-perturbative quantum corrections. This precision provides a formal connection to string-theoretic predictions, the aim of the calculation is a confirmation of the string-theoretic result. This lends credence to the interpretation of black hole thermodynamic entropy as a manifestation of degeneracies among the microscopic gravitational constituents, a concept akin to a Boltzmann-type interpretation.

In summary, this presentation explores the intricate relationship between supersymmetry, black hole entropy, and string theory, shedding light on profound connections and extending our understanding of the fundamental physics governing black holes.

2023-11-02_EmiliaMaenaut.pdf