Supersymmetric Null and Timelike Warped AdS and Strings in D=3, N=2 Gauged Supergravity

TL;DR

This paper classifies supersymmetric solutions in three-dimensional N=2 gauged supergravity, including warped AdS spacetimes and string solutions, revealing new black hole and interpolating string configurations with specific geometric and physical properties.

Contribution

It provides a comprehensive classification and explicit construction of supersymmetric solutions, including warped AdS and string solutions, in D=3, N=2 gauged supergravity with Fayet-Iliopoulos terms.

Findings

Existence of supersymmetric null and timelike warped AdS spacetimes.

Construction of black hole solutions via periodic identification.

Discovery of charged string solutions interpolating between AdS and Minkowski extrema.

Abstract

We classify and construct supersymmetric solutions of D=3, N=2 gauged supergravity extended with a Fayet-Iliopoulos term, and null and timelike warped AdS spacetimes are among them. From the first one, it is possible to obtain a well-defined black hole by periodic identification. We also find charged string solutions that interpolate between two supersymmetric AdS or Minkowski extrema of the scalar potential, one of which corresponds to a horizon with a singularity behind it, and the other determines the asymptotic geometry.