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.

arXiv comment12 pages, v2:typos corrected, references added, some minor changes performed

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Cited by in corpus (24)

• $\eta$ and $\lambda$ deformations as $\mathcal{E}$-models
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Poisson-Lie T-duals of the bi-Yang-Baxter models
• Double Wick rotating Green-Schwarz strings
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• Deformed Neumann model from spinning strings on (AdS_5 x S^5)_η
• $I$ in generalized supergravity
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Spiky strings in $\varkappa$-deformed $AdS$
• Integrable strings for AdS/CFT
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• D-brane on Deformed AdS_3 times S^3
• 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
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Lax pairs on Yang-Baxter deformed backgrounds
• Spin chains and classical strings in two parameters $q$-deformed AdS${}_3\times$S${}^3$
• Investigating (Non)-Integrability and Pulsating String in D3-Brane Background
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• Yang-Baxter deformations and string dualities