Black Holes and Flop Transitions in M-Theory on Calabi-Yau Threefolds

TL;DR

This paper constructs five-dimensional black hole solutions in M-theory on Calabi-Yau threefolds, analyzing their behavior across flop transitions in the extended Kähler cone, including conditions for massless black holes.

Contribution

It provides explicit black hole solutions in M-theory on Calabi-Yau threefolds and studies their properties across flop transitions, highlighting conditions for massless black holes.

Findings

Black hole solutions break half of N=2 supersymmetry.

Solutions are connected by flop transitions in the extended Kähler cone.

Conditions for massless black holes at the flop transition are discussed.

Abstract

We present fivedimensional extreme black hole solutions of M-theory compactified on Calabi-Yau threefolds and study these solutions in the context of flop transitions in the extended Kahler cone. In particular we consider a specific model and present black hole solutions, breaking half of N=2 supersymmetry, in two regions of the extended Kahler cone, which are connected by a flop transition. The conditions necessary to match both solutions at the flop transition are analysed. Finally we also discuss the conditions to obtain massless black holes at the flop transition.