Spiky Strings and Giant Holes

Abstract

We analyse semiclassical strings in AdS in the limit of one large spin. In this limit, classical string dynamics is described by a finite number of collective coordinates corresponding to spikes or cusps of the string. The semiclassical spectrum consists of two branches of excitations corresponding to "large" and "small" spikes respectively. We propose that these states are dual to the excitations known as large and small holes in the spin chain description of N=4 SUSY Yang-Mills. The dynamics of large spikes in classical string theory can be mapped to that of a classical spin chain of fixed length. In turn, small spikes correspond to classical solitons propagating on the background formed by the large spikes. We derive the dispersion relation for these excitations directly in the finite gap formalism.

36 pages, 9 figures

References in corpus (22)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• A semi-classical limit of the gauge/string correspondence
• Transcendentality and Crossing
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Classical/quantum integrability in AdS/CFT
• The su(2|2) Dynamic S-Matrix
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• Comments on operators with large spin
• Aspects of Semiclassical Strings in AdS${}_5$
• Logarithmic scaling in gauge/string correspondence
• Spiky strings and single trace operators in gauge theories
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Generating AdS String Solutions
• A Generalized Scaling Function for AdS/CFT
• On the Dynamics of Finite-Gap Solutions in Classical String Theory
• Pohlmeyer reduction revisited
• A Symplectic Structure for String Theory on Integrable Backgrounds
• On reduced models for superstrings on AdS_n x S^n
• Solitons and AdS String Solutions
• Moduli Dynamics of AdS_3 Strings

Cited by in corpus (8)

• On holographic three point functions for GKP strings from integrability
• Bethe Ansaetze for GKP strings
• Luescher formula for GKP string
• On the scattering over the GKP vacuum
• Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5
• Scattering of Giant Holes
• ABJM flux-tube and scattering amplitudes
• Spin chains and classical strings in two parameters $q$-deformed AdS${}_3\times$S${}^3$