Freezing of Moduli by N=2 Dyons

TL;DR

This paper derives the most general double-extreme dyonic black hole solutions in N=2 supergravity, showing how moduli are fixed by charges and providing explicit examples with Calabi-Yau related moduli.

Contribution

It presents the first comprehensive class of double-extreme dyonic black holes in N=2 supergravity with arbitrary vector and hypermultiplets, detailing their moduli dependence on charges.

Findings

Black hole solutions are supersymmetric with coinciding horizons.

The spacetime is of Reissner-Nordstrom form.

Moduli depend explicitly on electric and magnetic charges.

Abstract

In N=2 ungauged supergravity we have found the most general double-extreme dyonic black holes with arbitrary number n_v of constant vector multiplets and n_h of constant hypermultiplets. They are double-extreme: 1) supersymmetric with coinciding horizons, 2) the mass for a given set of quantized charges is extremal. The spacetime is of the Reissner-Nordstrom form and the vector multiplet moduli depend on dyon charges. As an example we display n_v complex moduli as functions of 2(n_v+1) electric and magnetic charges in a model related to a classical Calabi-Yau moduli space. A specific case includes the complex S, T, U moduli depending on 4 electric and 4 magnetic charges of 4 U(1) gauge groups.