Abstract
We study spiky string solutions in AdS(3) x S-1 that are characterized by two spins S, J as well as winding m in S-1 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 x root 1+[(4 pi(2))/n(2)](J(2)/ln(2)S + m(2)/ln(2)S) lnS. This is generalization of the known scaling for the folded spinning string.
Published in:
Physical Review D 81,10 (2010)
Link to original published article:
http://dx.doi.org/10.1103/PhysRevD.81.106004
Date of Version
May 2010
Recommended Citation
Kruczenski, M. and Tirziu, A., "Spiky strings in the Bethe ansatz at strong coupling" (2010). Department of Physics and Astronomy Faculty Publications. Paper 1275.
https://docs.lib.purdue.edu/physics_articles/1275