Classical Entropy of N=2 Black Holes: The minimal coupling case

TL;DR

This paper analyzes the entropy and symmetry properties of classical extremal N=2 black hole solutions in supergravity, focusing on minimal coupling models and duality invariance.

Contribution

It provides a manifestly invariant expression for black hole entropy under duality transformations in minimal coupling N=2 supergravity models.

Findings

Entropy expressed as a duality-invariant quantity

Demonstrates symmetry under SU(1,n) embedding into Sp(2n+2)

Clarifies transformation properties of extremal black holes

Abstract

We discuss the entropy and the transformation properties of classical extremal N=2 black hole solutions in supergravity theories associated with the minimal coupling models CP(n-1,1). The entropy is given by a manifestly invariant quantity under the embedding of the duality group SU(1,n) into Sp(2n+2) which is a symmetry of the classical BPS mass formula.