Gravitating spinning strings in AdS${}_3$

Abstract

In the AdS/CFT correspondence, single trace operators of large-$N$ gauge theories at large spin $J$ can be described by classical spinning strings, giving a geometric and classical description of their spectrum at strong coupling. We observe that in AdS${}_3$ these strings have significant gravitational back-reaction at sufficiently large spin, since the gravitational force does not decay at long distances. We construct solutions for folded spinning strings coupled to gravity in AdS${}_3$ and compute their spectrum, corresponding to the leading Regge trajectory of Virasroro primary operators. These solutions exist only below a maximal spin $J<J_{\max }$, and as $J\to J_{\max }$ the solution approaches an extremal rotating BTZ black hole.

30 pages, 3 figures. v2: references about other spinning string solutions added; v3: updated to match the published version

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Cited by in corpus (2)

• AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
• Spinning Particle Geometries in AdS${}_3$/CFT${}_2$