Erice Lectures on Black Holes and Attractors

TL;DR

This paper provides an elementary overview of four-dimensional black holes in supergravity, focusing on the Attractor Mechanism, thermodynamics, and connections to quantum information theory, with detailed discussion on Maxwell-Einstein-axion-dilaton models.

Contribution

It introduces the Attractor Mechanism in supergravity black holes and explores their thermodynamics and entanglement analogies, offering insights into extremal black hole properties.

Findings

Critical points of the black hole effective potential are characterized.

Analogies between black hole entropy and quantum entanglement are discussed.

Thermodynamical properties of extremal black holes are analyzed.

Abstract

These lectures give an elementary introduction to the subject of four dimensional black holes (BHs) in supergravity and the Attractor Mechanism in the extremal case. Some thermodynamical properties are discussed and some relevant formulae for the critical points of the BH effective potential are given. The case of Maxwell-Einstein-axion-dilaton (super)gravity is discussed in detail. Analogies among BH entropy and multipartite entanglement of qubits in quantum information theory, as well moduli spaces of extremal BH attractors, are also discussed.