BPS Solitons and Killing Spinors in Three Dimensional N=2 Supergravity

TL;DR

This paper investigates BPS solitons in three-dimensional N=2 supergravity, showing the existence of Killing spinors on these solutions and the absence of fermionic zero modes, with extensions to semilocal systems.

Contribution

It demonstrates the existence of Killing spinors on BPS solitons in 3D N=2 supergravity and proves the non-existence of fermionic zero modes, extending results to semilocal systems.

Findings

Killing spinors exist on BPS solitons even with asymptotically conical space-times

No physical fermionic zero modes are present on these backgrounds

Results are generalized to semilocal systems

Abstract

In the framework of three dimensional extended supergravity theories, we demonstrate that there exist non-trivial Killing spinors over BPS soliton configurations, even when the space-time is asymptotically conical. We also show that there are no physical fermionic zero modes on these backgrounds. We further generalize these results to the case of semilocal systems.