Spiky strings in the SL(2) Bethe Ansatz

6th International Symposium on Quantum Theory and Symmetries

Freyhult, L.^1 ; Kruczenski, M.^2 ; Tirziu, A.^2

Department of Physics and Astronomy, Uppsala University, PO Box 803, S-75108, Uppsala, Sweden^1

Department of Physics, Purdue University, W. Lafayette, IN 47907-2036, United States^2

关键词: Asymmetric distribution;    Bethe ansatz;    Classical solutions;    Leading orders;    Root distribution;    Strong coupling;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/462/1/012027/pdf
DOI  :  10.1088/1742-6596/462/1/012027

来源: IOP

【 摘 要 】

We consider spiky strings in the context of the SL(2) Bethe ansatz equations. We obtain an asymmetric distribution of Bethe roots along one cut which determines the all loop anomalous dimension at leading and subleading orders in a large S expansion. At leading order in strong coupling (large λ) the energy of such states is given, in terms of the spin S and the number of spikes n by E - S = n√λ/2π(ln 4πS/√λ + ln 4/n sin π/n - 1) + script O sign (lnS/S). This result agrees perfectly with the same expansion obtained from the known spiky string classical solution. We also discuss a two cut spiky string Bethe root distribution at one-loop in the SL(2) Bethe ansatz.