Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits

Abstract

We study a class of classical solutions for closed strings moving in AdS_3 x S^1 part of AdS_5 x S^5 with energy E and spin S in AdS_3 and angular momentum J and winding m in S^1. They have rigid shape with n spikes in AdS_3. We find that when J or m are non-zero, the spikes do not end in cusps. We consider in detail a special large n limit in which S ~ n^2, J ~ n, i.e. S >> J >> 1, with (E+S)/ n^2, (E-S)/ n, J/n, m/n staying finite. In that limit the spiky spinning string approaches the boundary of AdS_5. We show that the corresponding solution can be interpreted as describing a periodic-spike string moving in AdS_3 --pp-wave x S^1 background. The resulting expression for the string energy should represent a strong-coupling prediction for anomalous dimension of a class of dual gauge theory states in a particular thermodynamic limit of the SL(2) spin chain.

34 pages, 4 figures; v2: references added; v3: typos corrected

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Cited by in corpus (24)

• Twist-three at five loops, Bethe Ansatz and wrapping
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Moduli Dynamics of AdS_3 Strings
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Four loop reciprocity of twist two operators in N=4 SYM
• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Spiky strings in the SL(2) Bethe Ansatz
• Spiky strings in Bethe Ansatz at strong coupling
• Semiclassical rigid strings with two spins in AdS_5
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• Multi-spike strings in $Ad{S}_3$ with mixed three-form fluxes
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Perturbations of spiky strings in AdS3
• Spiky strings in de Sitter space
• On N-spike strings in conformal gauge with NS-NS fluxes
• Spin chains and classical strings in two parameters $q$-deformed AdS${}_3\times$S${}^3$
• Singular Liouville fields and spiky strings in $\rr^{1,2}$ and $SL(2,\rr)$
• Operator with large spin and spinning D3-brane
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Spiky Strings with Two Spins in AdS5
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes
• Leading quantum correction to energy of "short" spiky strings
• Neumann-Rosochatius system for rotating strings in $Ad{S}_3\times S^3\times S^3\times S^1$ with flux