# Supersymmetric, fermionic solutions in three-dimensional supergravity

## TL;DR

This paper introduces new fermionic solutions in three-dimensional supergravity that depend on fermionic fields and include nonsingular configurations in Anti de Sitter space, expanding the landscape of known supersymmetric backgrounds.

## Contribution

It derives novel half-BPS fermionic solutions in 3D supergravity that depend on fermionic degrees of freedom and lack purely bosonic counterparts.

## Key findings

- Found nonsingular solutions with vanishing Chern-Simons gauge field in AdS.
- Extended the set of supersymmetric backgrounds with fermionic solutions.
- Demonstrated solutions are fundamentally dependent on fermionic fields.

## Abstract

Building upon known supersymmetric backgrounds, we derive novel half-BPS fermionic solutions in three-dimensional supergravity. By virtue of an essential dependence on fermionic degrees of freedom, they possess no purely bosonic analogue. In the Anti de Sitter case this notably includes nonsingular solutions for which the corresponding Chern-Simons gauge field $\mathcal{A}=\omega\pm e/L$ vanishes, providing access to configurations which are ordinarily singular in pure gravity.