Superspace Supervortices

TL;DR

This paper develops a theoretical framework for supersymmetrical vortices within curved superspace in (1,0) supergravity, incorporating a perturbed coset model that remains integrable and exactly solvable due to supersymmetry.

Contribution

It introduces a new supersymmetric vortex theory in curved superspace with a specific perturbed coset model that preserves integrability and exact solvability.

Findings

The theory describes supersymmetrical vortices in curved superspace.

The perturbed coset model remains integrable under supersymmetry.

The exact quantum system is determined by a specific dilaton background.

Abstract

We present the theory describing supersymmetrical vortices in the curved superspace of the (1,0) supergravity. The action is defined as a (1,0) locally supersymmetric $SU(2)/U(1)$ coset perturbed by the cosmological constant-like term. The perturbation is such that it preserves the integrability of the coset model. Because of supersymmetry the perturbed theory is an exact quantum system provided a proper dilaton is taken into account. The exact value of the dilaton is determined in the supersymmetric case by the quasi-classical background of the bosonic coset.