Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma Models II: Analytic Solution and BPS States

TL;DR

This paper explores the integrability of two-dimensional N=(2,2) dilaton supergravity using graded Poisson Sigma models, providing explicit solutions and analyzing special BPS states.

Contribution

It presents the first general analytic solutions for N=(2,2) dilaton supergravity in two dimensions, including gauged, ungauged, and BPS configurations.

Findings

Analytic solutions for various models are obtained.

Differences from bosonic models are identified.

BPS states are characterized within the solutions.

Abstract

The integrability of N=(2,2) dilaton supergravity in two dimensions is studied by the use of the graded Poisson Sigma model approach. Though important differences compared to the purely bosonic models are found, the general analytic solutions are obtained. The latter include minimally gauged models as well as an ungauged version. BPS solutions are an especially interesting subclass.