Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$

Abstract

We derive the energy of pulsating strings as a function of adiabatic invariant oscillation number, which oscillates in $S_{\varkappa }^2$. We find similar solutions for the strings oscillating in deformed $Ad{S}_3$. Furthermore, we generalize the result to the oscillating strings in anti-de Sitter space in the presence of extra angular momentum in $(Ad{S}_3\times S^1{)}_{\varkappa }$.

15 pages

References in corpus (12)

• On deformations of AdS_n x S^n supercosets
• Quantum Deformations of the One-Dimensional Hubbard Model
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• The Quantum Deformed Mirror TBA I
• Double Wick rotating Green-Schwarz strings
• Semi-classical strings in AdS_4*CP^3
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix
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Cited by in corpus (15)

• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• Puzzles of eta-deformed AdS_5 x S^5
• Analytic integrability for strings on $\eta$ and $\lambda$ deformed backgrounds
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Integrable strings for AdS/CFT
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• D-brane on Deformed AdS_3 times S^3
• Probing $\eta$ deformed backgrounds with $Dp$ branes
• N spike D-strings in AdS Space with mixed flux
• Pulsating strings in I-brane background
• Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime
• Pulsating string solution and stability in two parameter $\chi$-deformed background