Spiky Strings, Giant Magnons and beta-deformations

Abstract

We study rigid string solutions rotating on the S^3 subspace of the beta-deformed AdS_5xS^5 background found by Lunin and Maldacena. For particular values of the parameters of the solutions we find the known giant magnon and single spike strings. We present a single spike string solution on the deformed S^3 and find how the deformation affects the dispersion relation. The possible relation of this string solution to spin chains and the connection of the solutions on the undeformed S^3 to the sine-Gordon model are briefly discussed.

20 pages, 2 figures; v2: typos corrected, references added

References in corpus (4)

• Spinning strings and AdS/CFT duality
• Single spike solutions for strings on S2 and S3
• Semiclassical strings and AdS/CFT
• A review of integrable deformations in AdS/CFT

Cited by in corpus (6)

• Single spike solutions for strings on S2 and S3
• On the anatomy of multi-spin magnon and single spike string solutions
• On the multi-spin magnon and spike solutions from membranes
• Fundamental String and D1-brane in I-brane Background
• D1-brane in beta-Deformed Background
• Spin chain from membrane and the Neumann-Rosochatius integrable system