On d=4,5,6 Vacua with 8 Supercharges

TL;DR

This paper explores the relationships between all known maximally supersymmetric vacua in N=2 theories across dimensions 4, 5, and 6, showing how they are connected via dimensional reduction and oxidation while preserving supersymmetry.

Contribution

It demonstrates how various N=2 vacua in different dimensions are interconnected through dimensional reduction and oxidation, revealing a unified structure of supersymmetric solutions.

Findings

All known vacua are related through dimensional reduction/oxidation.

The N=2, d=5 vacua interpolate between different geometries in parameter space.

The vacua can be transformed into each other while preserving supersymmetry.

Abstract

We show how all known N=2, d=4,5,6 maximally supersymmetric vacua (Hpp-waves and aDSxS solutions) are related through dimensional reduction/oxidation preserving all the unbroken supersymmetries. In particular we show how the N=2, d=5 family of vacua (which are the near-horizon geometry of supersymmetric rotating black holes) interpolates between aDS_2xS^3 and aDS_3xS^2 in parameter space and how it can be dimensionally reduced to an N=2, d=4 dyonic Robinson-Bertotti solution with geometry aDS_2xS^2 and oxidized to an N=2, d=6 solution with aDS_3xS^3 geometry (which is the near-horizon of the self-dual string).