Spiky strings in Bethe Ansatz at strong coupling

Abstract

We study spiky string solutions in AdS3 x S1 that are characterized by two spins S,J as well as winding m in S1 and spike number n. We construct explicitly two-cut solutions by using the SL(2) asymptotic Bethe Ansatz equations at leading order in strong coupling. Unlike the folded spinning string, these solutions have asymmetric distributions of Bethe roots. The solutions match the known spiky string classical results obtained directly from string theory for arbitrary semiclassical parameters, including J=0 and any value of S, namely short and long strings. At large spins and winding number the string touches the boundary, and we find a new scaling limit with the energy given as E-S = n /2/ pi sqrt[1+ 4 pi^2/n^2 (J^2/ln^2 S + m^2/ln^2 S)] ln S. This is a generalization of the known scaling for the folded spinning string.

23 pages, 2 figures; v2: minor changes

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Cited by in corpus (11)

• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• 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
• Spiky strings in de Sitter space
• On N-spike strings in conformal gauge with NS-NS fluxes
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Spiky Strings with Two Spins in AdS5
• A semiclassical analysis of the fluctuation eigenvalues and the one-loop energy of the folded spinning superstring in AdS_5 x S^5
• Neumann-Rosochatius system for rotating strings in $Ad{S}_3\times S^3\times S^3\times S^1$ with flux
• 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