Multispin magnons on deformed $Ad{S}_3\times S^3$

Abstract

In this paper, using the holographic prescription, we study multispin bound states and their dispersion relations over the $\kappa$-deformed $Ad{S}_3\times S^3$ background. In the first part of our analysis, considering the conformal gauge conditions (associated with the Polyakov action) we explore the dispersion relation associated with spin two bound states at strong coupling. We solve corresponding world-sheet fluctuations and compute all the conserved quantities associated with the stringy dynamics over the deformed background. In the second part of our analysis, we perform similar analysis for spin three configurations. In both cases, we observe the emergence of non trivial background deformation that vanishes in the limit, $\kappa \to 0$.

Substantially revised version, To Appear In Physical Review D (PRD)

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Cited by in corpus (7)

• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Probing $\eta$ deformed backgrounds with $Dp$ branes
• Quantum deformation of cubic string field theory
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$