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

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.

4 pages, 3 figures, v2 revised title and abstract, references added, various improvements, clarification added that only real solutions are timelike-warped AdS3; v3 reference added, expanded description, to appear in PRD

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• Exact two-dimensional superconformal R-symmetry and c-extremization
• Two Virasoro symmetries in stringy warped AdS${}_3$
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• Supersymmetric Gödel and warped black holes in string theory
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Cited by in corpus (1)

• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds