Warped AdS$_3$, dS$_3$ and flows from $\mathcal{N} = (0,2)$ SCFTs

TL;DR

This paper classifies all timelike supersymmetric solutions in 3D U(1)^3 gauged supergravity, revealing a complex vacuum structure with new warped AdS_3 and dS_3 solutions, and explores supersymmetric flows between these critical points.

Contribution

It provides the complete form of all timelike supersymmetric solutions and uncovers new warped AdS_3 and dS_3 critical points, along with the construction of supersymmetric flows between them.

Findings

Discovery of infinite new timelike-warped AdS_3 (Goedel) solutions.

Identification of timelike-warped dS_3 critical points.

Flows from AdS_3 to Goedel reduce the central charge.

Abstract

We present the general form of all timelike supersymmetric solutions to 3D U(1)^3 gauged supergravity, a known consistent truncation of string theory. We uncover a rich vacuum structure, including an infinite class of new timelike-warped AdS_3 (Goedel) and timelike-warped dS_3 critical points. We outline the construction of supersymmetric flows, driven by irrelevant scalar operators in the SCFT, which interpolate between critical points. For flows from AdS_3 to Goedel, the natural candidate for the central charge decreases along the flow. Flows to timelike-warped dS_3 exhibit topology change.