The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity

TL;DR

This paper classifies all supersymmetric solutions in ungauged N=1, d=4 supergravity with matter, revealing they are mainly pp-waves and strings, and introduces related magnetic and 2-form fields.

Contribution

It provides the most general supersymmetric solutions for ungauged N=1, d=4 supergravity with matter couplings, including new magnetic and 2-form field transformations.

Findings

Solutions are mainly pp-waves and strings.

Magnetic 1-forms and 2-forms are introduced and related to isometries.

Couplings to BPS objects are clarified.

Abstract

We find the most general supersymmetric solutions of ungauged N=1,d=4 supergravity coupled to an arbitrary number of vector and chiral supermultiplets, which turn out to be essentially pp-waves and strings. We also introduce magnetic 1-forms and their supersymmetry transformations and 2-forms associated to the isometries of the scalar manifold and their supersymmetry transformations. Only the latter can couple to BPS objects (strings), in agreement with our results.