D-term cosmic strings from N=2 Supergravity

TL;DR

This paper introduces new half-BPS cosmic string solutions within N=2 supergravity, revealing their relation to D-term strings in N=1 supergravity and emphasizing the importance of gauging and geometry choices.

Contribution

It presents novel half-BPS cosmic string solutions in N=2 supergravity with detailed analysis of their geometric and gauging properties, extending previous N=1 results.

Findings

New half-BPS cosmic string solutions in N=2 supergravity

Relation between N=2 solutions and N=1 D-term strings

Generalization to higher-dimensional quaternionic-Kaehler manifolds

Abstract

We describe new half-BPS cosmic string solutions in N=2, d=4 supergravity coupled to one vector multiplet and one hypermultiplet. They are closely related to D-term strings in N=1 supergravity. Fields of the N=2 theory that are frozen in the solution contribute to the triplet moment map of the quaternionic isometries and leave their trace in N=1 as a constant Fayet-Iliopoulos term. The choice of U(1) gauging and of special geometry are crucial. The construction gives rise to a non-minimal Kaehler potential and can be generalized to higher dimensional quaternionic-Kaehler manifolds.