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arXiv · 2203.02492

Gravitating spinning strings in AdS$_3$

Henry Maxfield·Zhencheng Wang
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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 $J<J_\mathrm{max}$, and as $J\to J_\mathrm{max}$ the solution approaches an extremal rotating BTZ black hole.

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Henry Maxfield, Zhencheng Wang. 2022-03-04. Gravitating spinning strings in AdS$_3$. https://doi.org/10.1007/jhep07(2022)075

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