Giant Magnon on Deformed AdS(3)xS(3)

Abstract

We study giant magnon solutions for strings moving on a deformed AdS(3)xS(3) background. We impose a conformal gauge on the Polyakov action and proceed with solving the Virasoro constraints. The expressions of the conserved charge J and the energy of a single magnon excitation are then computed. Then we determine the dispersion relation in the infinite J limit configuration and we find that it reduces to celebrated Hofman-Maldacena dispersion relation when the deformation parameter goes to zero.

12 pages, v2:typos corrected, references added, some minor changes performed

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Cited by in corpus (12)

• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Double Wick rotating Green-Schwarz strings
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• $I$ in generalized supergravity
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Spiky strings in $\varkappa$-deformed $AdS$
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Deformations of $T^{1,1}$ as Yang-Baxter sigma models
• Probing $\eta$ deformed backgrounds with $Dp$ branes
• Investigating (Non)-Integrability and Pulsating String in D3-Brane Background
• Yang-Baxter deformations and string dualities