Stringy cosmic strings in matter coupled N=2, d=4 supergravity

TL;DR

This paper extends N=2, d=4 supergravity with matter to include 2-form potentials, constructs supersymmetric string solutions, and explores their properties, revealing new stringy cosmic string configurations in supergravity.

Contribution

It introduces a systematic way to incorporate 2-form potentials into matter-coupled supergravity and constructs explicit 1/2 BPS string solutions.

Findings

Maximal number of 2-forms equals the number of sigma model isometries.

Supersymmetry algebra can be realized on 2-forms.

Explicit 1/2 BPS string solutions are constructed.

Abstract

We extend the system of ungauged N=2, d=4 supergravity coupled to vector multiplets and hypermultiplets with 2-form potentials. The maximal number of 2-form potentials that one may introduce is equal to the number of isometries of either the special Kaehler or quaternionic Kaehler sigma model. We show that the local supersymmetry algebra can be realized on the 2-form potentials. These 2-forms couple electrically to strings which we refer to as stringy cosmic strings. The 1/2 BPS bosonic world-sheet actions for these strings are constructed and we discuss the properties of the 1/2 BPS stringy cosmic string solutions.