Spiky strings onAdS3×S3with NS-NS flux

Abstract

We study rigidly rotating strings in the background of AdS 3 × S 3 with Neveu-Schwarz fluxes. We find two interesting limiting cases corresponding to the known giant magnon and the new single spike solution of strings in the above background and write down the dispersion relations among various conserved charges. We use proper regularization to find the correct relations among them. We further study the circular strings and infinite spikes on anti-de Sitter (AdS) and study their properties.

Elliptic solutions in the Neumann–Rosochatius system with mixed flux

“…It was later on proved that integrability also remains a symmetry of more general string backgrounds including a mixture of R-R and Neveu-Schwarz-Neveu-Schwarz (NS-NS) three-form fluxes [12]. This result has been responsible for all the recent insight in the understanding of type IIB string theory on AdS 3 × S 3 × T 4 with mixed fluxes [13][14][15][16][17][18][19][20][21][22][23].…”

“…These are the giant magnons analyzed in Ref. [17] for the v 2 ¼ 0 case and in Ref. [15] for general values of v 2 (giant magnon solutions were also constructed in Refs.…”

“…[25] (string solutions with mixed fluxes were studied before using diverse approaches in Refs. [14][15][16][17][18]). The purpose of this article is to exploit the flux-deformed Neumann-Rosochatius system to construct more general solutions.…”

SL(2, Z) invariant rotating (m, n) strings in $$AdS_3\times S^3$$ A d S 3 × S 3 with mixed flux

“…This dispersion relation is the generalization of the dispersion relations derived in [18] and also in [21] to the case of an (m, n)-string in the (d, −b)-mixed flux background. We see that this dispersion relation is linear in φ 1 , which is identified with the world-sheet momentum p, which spoils the periodicity of this solution.…”

“…2 The theory has been shown to be integrable and for a generic value of the parameter q the corresponding tree-level S-matrix for massive BMN-type excitations has been computed. Further computations along the lines of a rotating and pulsating string have been studied, for example, in [20][21][22][23][24][25][26][27][28][29]. In view of the study of superstrings in an Ad S 3 ×S 3 background with mixed flux, it is interesting to investigate further the rotating (m, n) string in an Ad S 3 × S 3 background with mixed three form fluxes.…”