Calabi-Yau Compactification of Type-IIB string and a Mass Formula of the Extreme Black Holes

TL;DR

This paper explores the Calabi-Yau compactification of Type-IIB string theory, deriving a mass formula for stable, supersymmetric extreme black holes influenced by the moduli of the Calabi-Yau manifold, with implications for string vacua phases.

Contribution

It presents a new explicit mass formula for supersymmetric black holes in Type-IIB string theory compactified on Calabi-Yau manifolds.

Findings

Derived a mass formula expressed in Calabi-Yau moduli parameters.

Showed the black holes are stable and supersymmetric.

Provided explicit calculations for the mass formula.

Abstract

Recently proposed mechanism of the black hole condensation at conifold singularity in type II string is an interesting idea from which we can interpret the phase of the universal moduli space of the string vacua. It might also be expected that the true physics is on the conifold singularity after supersymmetry breaking. We derive a mass formula for the extreme black holes caused by the self-dual 5-form field strength, which is stable and supersymmetric. It is shown that the formula can be written by the moduli parameters of Calabi-Yau manifold and can be calculated explicitly.