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Giant Holes

Nick Dorey, Manuel Losi

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.

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.

Paper Structure

This paper contains 36 sections, 50 equations, 1 figure.

Table of Contents

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  16. ...and 18 more sections

Figures (1)

  • Figure 1: The 2-soliton solution at $t=-2.7,-1,-0.1,0.1,1,2.7$ (from left to right and top to bottom). At $t=0$ the string coincides with the horizontal axis.