Analytic integrability for strings on $\eta$ and $\lambda$ deformed backgrounds

Abstract

In this paper, based on simple analytic techniques, we explore the integrability conditions for classical stringy configurations defined over $\eta$ as well as $\lambda$- deformed backgrounds. We perform our analysis considering classical string motions within various subsectors of the full target space geometry. It turns out that classical string configurations defined over $\eta$- deformed backgrounds are non-integrable whereas on the other hand, the corresponding configurations are integrable over the $\lambda$- deformed background. Our analysis therefore imposes a strong constraint on the operator spectrum associated with the corresponding dual gauge theories at strong coupling.

Version to appear in JHEP

References in corpus (10)

• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• On deformations of AdS_n x S^n supercosets
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Spacetimes for λ-deformations
• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
• Nonplanar Integrability
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Non-integrability in non-relativistic theories
• Generalized $\lambda$-deformations of AdS_p x S^p
• Melnikov's method in String Theory

Cited by in corpus (1)

• Constraining integrable AdS/CFT with factorized scattering