Modular Symmetries of N=2 Black Holes

TL;DR

This paper explores how classical extremal N=2 black hole solutions transform under dualities, using invariants of the triality group to understand horizon moduli and entropy behavior, and discusses quantum corrections.

Contribution

It introduces a method to analyze the transformation properties of N=2 black holes using invariants of the triality group, revealing new insights into their symmetries and entropy.

Findings

Transformation properties of horizon moduli are clarified.

Entropy invariance under dualities is demonstrated.

A conjecture for one-loop corrected entropy is proposed.

Abstract

We discuss the transformation properties of classical extremal N=2 black hole solutions in S-T-U like models under S and T duality. Using invariants of (subgroups of) the triality group, which is the symmetry group of the classical BPS mass formula, the transformation properties of the moduli on the event horizon and of the entropy under these transformations become manifest. We also comment on quantum corrections and we make a conjecture for the one-loop corrected entropy.