Giant Holes

Abstract

We study the semiclassical spectrum of excitations around a long spinning string in AdS_3. In addition to the usual small fluctuations, we find the spectrum contains a branch of solitonic excitations of finite energy. We determine the dispersion relation for these excitations. This has a relativistic form at low energies but also matches the dispersion relation for the "hole" of the dual gauge theory spin chain at high energies. The low-energy behaviour is consistent with the hypothesis that the solitonic excitations studied here are continuously related to the elementary excitations of the string.

17 pages, 1 figure; additional references included

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Cited by in corpus (4)

• Exciting the GKP string at any coupling
• Bethe Ansaetze for GKP strings
• Luescher formula for GKP string
• On the scattering over the GKP vacuum