Pulsating string solution and stability in two parameter $\chi$-deformed background

Abstract

In this paper, we investigate pulsating string solutions within the context of a two-parameter $\chi$-deformed $\mathcal{R}\times S^2$ background. We derive the energy and oscillation number relation for the deformed $\mathcal{R}\times S^2$ in a short string limit. Additionally, we derive the first-order perturbation equation for a pulsating string in this specific background. As a special case of the two-parameter deformed background, we examine the stability of the pulsating string solution in one-parameter deformed $\mathcal{R}\times S^2$ and $Ad{S}_3$ background by setting one of the deformation parameters to zero.

arXiv comment18 pages,5 figures

References in corpus (53)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• A semi-classical limit of the gauge/string correspondence
• Giant Magnons
• An integrable deformation of the AdS_5 x S^5 superstring action
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Circular Semiclassical String Solutions on AdS_5 x S_5
• On deformations of AdS_n x S^n supercosets
• Spiky strings and single trace operators in gauge theories
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Quantum Deformations of the One-Dimensional Hubbard Model
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Pulsating Strings on AdS_5 x S^5
• Propagation of perturbations along strings
• Semi-classical strings in AdS_4*CP^3
• Generalized pulsating strings
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Perturbations of a topological defect as a theory of scalar fields interacting with an external vector potential
• Spinning Pulsating String Solitons in AdS_5 x S^5
• Strings Propagating in the 2+1 Dimensional Black Hole Anti de Sitter Spacetime
• Covariant perturbations of domain walls in curved spacetime
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Semiclassical circular strings in AdS_5 and "long" gauge field strength operators
• Cosmological Perturbations on a Bouncing Brane
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Two-parameter integrable deformations of the $Ad{S}_3\times S^3\times T^4$ superstring
• Circular String-Instabilities in Curved Spacetime
• Improved Stability for Pulsating Multi-Spin String Solitons
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
• String Instabilities in Black Hole Spacetimes
• Pulsating strings with mixed three-form flux
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• Pulsating Strings With Angular Momenta
• Planetoid strings : solutions and perturbations
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• On the pulsating strings in AdS_5 x T^{1,1}
• On the pulsating strings in AdS_4 x CP3
• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• Covariant approach of perturbations in Lovelock type brane gravity
• On the Stability of Spherical Membranes in Curved Spacetimes
• Open String Fluctuations in AdS with and without Torsion
• Stable and Unstable Circular Strings in Inflationary Universes
• Perturbations of spiky strings in flat spacetimes
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• Second order perturbations of relativistic membranes in curved spacetime
• String propagation in four-dimensional dyonic black hole background
• Perturbations of spiky strings in AdS3
• Stability of branes trapped by d-dimensional black holes
• Spin chains and classical strings in two parameters $q$-deformed AdS${}_3\times$S${}^3$
• Double Yang-Baxter deformation of spinning strings
• Second Order Perturbations of a Macroscopic String; Covariant Approach
• Covariant higher order perturbations of branes in curved spacetime
• Pulsating strings in I-brane background