Timelike Killing spinors in seven dimensions

TL;DR

This paper uses G-structure formalism to analyze supersymmetric solutions with timelike Killing spinors in seven-dimensional supergravity, revealing new solutions including deformed AdS and Godel-like spacetimes.

Contribution

It provides necessary and sufficient conditions for timelike Killing spinors in seven-dimensional supergravity and introduces numerous new solutions with various geometric properties.

Findings

Preservation of one supersymmetry out of sixteen in generic configurations.

Discovery of squashed or deformed AdS solutions.

Construction of Godel-like solutions with closed timelike curves.

Abstract

We employ the G-structure formalism to study supersymmetric solutions of minimal and SU(2) gauged supergravities in seven dimensions admitting Killing spinors with associated timelike Killing vector. The most general such Killing spinor defines an SU(3) structure. We deduce necessary and sufficient conditions for the existence of a timelike Killing spinor on the bosonic fields of the theories, and find that such configurations generically preserve one out of sixteen supersymmetries. Using our general supersymmetric ansatz we obtain numerous new solutions, including squashed or deformed AdS solutions of the gauged theory, and a large class of Godel-like solutions with closed timelike curves.