O3/O7 Orientifold Truncations and Very Special Quaternionic-Kaehler Geometry

TL;DR

This paper investigates the effects of orientifold truncations on quaternionic-Kaehler geometries in supergravity, revealing new dual Kaehler spaces with flat potentials after compactification on Calabi-Yau orientifolds.

Contribution

It provides a detailed analysis of N=2 to N=1 hypermultiplet truncation, verifies Kaehler structures, and introduces new dual Kaehler spaces with potential applications in supergravity.

Findings

Verification of Kaehler structure in truncated spaces

Complete classification for symmetric special quaternionic spaces

Discovery of new dual Kaehler spaces with flat potentials

Abstract

We study the orientifold truncation that arises when compactifying type II string theory on Calabi-Yau orientifolds with O3/O7-planes, in the context of supergravity. We look at the N=2 to N=1 reduction of the hypermultiplet sector of N=2 supergravity under the truncation, for the case of very special quaternionic-Kaehler target space geometry. We explicitly verify the Kaehler structure of the truncated spaces, and we study the truncated isometry algebra. For symmetric special quaternionic spaces, we give a complete overview of the spaces one finds after truncation. We also find new examples of dual Kaehler spaces, that give rise to flat potentials in N=1 supergravity.