Spin chains and classical strings in two parameters q-deformed AdS3 × S3

Abstract

In this paper, we study the spin chain and string excitation in the two-parameters qdeformed AdS 3 ×S 3 proposed by Hoare [4]. We obtain the deformed spin chain model at the fast spin limit for choices of deformed parameters. General ansatz for giant magnons are studied in great detail and complicated dispersion relation is treated perturbatively. We also study several types of hanging string solutions and their charges and spins are analyzed numerically. At last, we explore its pp-wave limit and find its solution only depends on the difference of deformed parameters.

Three-parameter deformation of ℝ × S3 in the Landau-Lifshitz limit

“…This limit has also been studied for the cases of beta[50], mixed-flux[28], Yang-Baxter[51,52] and bi-Yang-Baxter[53] deformations of AdS3 × S 3 . However, these articles focus more on classical solutions and the relation between the string theory and spin chain Lagrangians.…”

Double Yang-Baxter deformation of spinning strings

“…To arrive to this expression we have employed the property 17) and cn (z, m) denotes the Jacobian elliptic cosine. This expression allows us to take the degenerate limit ζ 1 = ζ 2 in (3.16), leading us to…”

“…Further developements in the context of double Yang-Baxter deformations and generalizations thereof may be found in[10][11][12][13][14][15][16]. Moreover, classical solutions in this scenario have been considered in[17].…”