Magnetic Cosmic Strings of N=1, D=4 Supergravity with Cosmological Constant

TL;DR

This paper introduces a new class of supersymmetric magnetic cosmic string solutions in four-dimensional supergravity with a cosmological constant, demonstrating their properties and explicit examples with different scalar field configurations.

Contribution

It presents novel supersymmetric cosmic string solutions in N=1, D=4 supergravity with a cosmological constant, including explicit examples with constant and non-trivial scalar fields.

Findings

Solutions preserve half of the supersymmetry.

Explicit example with smooth spacetime topology.

Additional solutions with scalar fields in complex projective and hyperbolic spaces.

Abstract

We find a new class of cosmic string solutions with non-vanishing magnetic flux of $\mathcal{N}=1$, D=4 supergravity with a cosmological constant and coupled to any number of Maxwell and scalar multiplets. We show that these magnetic cosmic string solutions preserve 1/2 of supersymmetry. We give an explicit example of such a solution for which the complex scalars are constant and the spacetime is smooth with topology $R^{1,1}\times S^2$. Two more examples are explored for which a complex scalar field takes values in $\mathbb{C} P^1$ and in $SL(2,\mathbb{R})/U(1)$.